{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sys\n",
    "sys.path.append('..')\n",
    "sys.path.append('../geostatsmodels')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This notebook is an effort to replicate the lessons found here:\n",
    "http://people.ku.edu/~gbohling/cpe940/Variograms.pdf\n",
    "\n",
    "We'll do all of our imports here at the top.\n",
    "\n",
    "*Note: This is a work in progress, and is in the process of being updated to support Python 3+.*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "from geostatsmodels import utilities, kriging, variograms, model, geoplot\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.stats import norm"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We're going to fetch the data file we need for this exercise from the following URL:\n",
    "\n",
    "http://people.ku.edu/~gbohling/geostats/WGTutorial.zip\n",
    "\n",
    "Subsequent runs of this Notebook should use a local copy, saved in the current directory."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "cluster_file = 'ZoneA.dat'\n",
    "column_names = [\"x\", \"y\", \"thk\", \"por\", \"perm\", \"log-perm\", \"log-perm-prd\", \"log-perm-rsd\"]\n",
    "z = pd.read_csv(cluster_file, sep=\" \", skiprows=10, names=column_names)\n",
    "P = np.array(z[['x','y','por']])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's make a plot of the data, so we know what we're dealing with."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "fig.set_size_inches(8,8)\n",
    "cmap = geoplot.YPcmap\n",
    "ax.scatter(z.x/1000, z.y/1000, c=z.por, s=64, cmap=cmap)\n",
    "ax.set_aspect(1)\n",
    "plt.xlim(-2, 22)\n",
    "plt.ylim(-2, 17.5)\n",
    "\n",
    "plt.xlabel('Easting [m]')\n",
    "plt.ylabel('Northing [m]')\n",
    "th=plt.title('Porosity %')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's verify that our data is distributed normally."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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66y6qB/gRR9lp06YNrVq14uDBg4wdO9btOKaIs6JgQtaWLVuYPHkyERERPPbYY27H8av07Rs+fDjJyckupzFFmRUFE7JGjBhBWloaPXv2JC4uzu04fnXNNdfQuHFjEhISmDx5sttxTBFmRcGEpP379zN+/HgAHn74YZfT+F9YWBiPPPIIAMOGDSMtLc3lRKaosqJgQtI777zD8ePH6dChA02bNnU7TqHo2bMn1atXZ+3atXa9BZMtKwom5Jw8eZI33ngDCI1WQrqoqCgefPBBAF566SWX05iiyoqCCTkffvghu3fvplmzZrRr187tOIWqT58+xMbGsnjxYn7+2a5rZf7OioIJKWlpabz66quAp5UgIi4nKlylS5emb9++ALz++usupzFFkRUFE1Jmz57Nhg0bqFGjBjfddJPbcVwxYMAAwsPDmTZtGomJibm/wIQUKwompKQP9TBw4EAiIyNdTuOOWrVqccMNN5CSksJbb73ldhxTxFhRMCFj3bp1zJs3j+joaHr37u12HFc98MADAIwePZoTJ064nMYUJVYUTMh48803Abj11lspW7asy2ncdckllxAfH8/+/fuZNGmS23FMEWJFwYSEQ4cOMXHiRADuu+8+l9O4T0QyWguvvfYaqupyIlNUWFEwIWH8+PEcP36cdu3acd5557kdp0jo1q0bVatWZe3atcyfP9/tOKaIsKJggl5qamrGrqOBAwe6nKboiIqK4p577gFg1KhRLqcxRYUVBRP0vvzyS7Zu3UqdOnW45ppr3I5TpPTp04fIyEhmzpzJjh073I5jigArCibopf8KTj8+3/xPlSpV6Nq1K2lpaYwePdrtOKYIsKJggtqmTZuYO3cuJUqU4M4gu/6yr9x7770AjB07llOnTrmcxrjNioIJaum/fm+++eaQPww1O61ateL8889n7969TJ8+3e04xmVWFEzQOnHiRMY1E/r37+9ymqJLRDLeH+twNlYUTNCaOnUqBw8eJD4+nvj4eLfjFGm9evWidOnS/Pjjj6xcudLtOMZFVhRM0Eof18daCbmLiYnhjjvuALDxkEKcFQUTlJYvX84vv/xCmTJl6N69u9txAkL6OQsfffQRR44ccTmNcYsVBROU3n77bQDuvPNOoqOjXU4TGBo1asTll1/OsWPH+Oijj9yOY1xiRcEEncOHDzN58mQA+vXr53KawJL+fr3zzjs2HlKIsqJggs5HH33E8ePHadu2LQ0bNnQ7TkC54YYbqFChAqtWreKXX35xO45xgRUFE1RUNePchPTLTpq8K1asWMZJfnaGc2iyomCCytKlS1m1ahUVKlSgS5cubscJSOnF9OOPP+bQoUMupzGFzYqCCSpjxowB4I477qBYsWIupwlM55xzDu3atePEiRN8+OGHbscxhcyKggka3h3Mffr0cTlNYLv77rsBzy4k63AOLRFuBzDGV9I7mNu0aUODBg3cjuNX/TZu9OvyUxs2pET58qxZs4YuU6dSuVmzfC9jtHXyByRrKZigoKoZu47sMNSzFx4VRf3rrwdgw7RpLqcxhcmKggkKy5cvZ+XKlZQvX946mH2k0Y03AvDH7NmcTkpyOY0pLFYUTFAYO3YsALfffrt1MPtImTp1qNqiBSknTrB51iy345hCYkXBBLykpKSMYRl69+7tcprg0uimmwDbhRRK/FoURKSjiGwUkc0i8ngWz98tIr+JyEoR+V5EGvszjwlOU6dOJSkpiVatWnHuuee6HSeo1LnySorFxrJv7Vr2rVvndhxTCPxWFEQkHBgFXAU0Bnpk8aX/kao2VdVmwDBguL/ymOA1btw4wFoJ/hBRrBj1O3UCrLUQKvzZUrgI2KyqW1T1NPAx0Nl7BlX1Hp+3JGAHRJt8Wbt2LT/99BOlS5emW7dubscJSo2c93XTF1+QcuKEy2mMv/mzKFQH/vR6nOBMO4OI3Csif+BpKQzMakEi0ldElonIsr179/olrAlM6a2Enj17UrJkSZfTBKdyDRpQ6YILSE5KYsvXX7sdx/iZ6x3NqjpKVesBjwFPZTPPGFWNV9X4ihUrFm5AU2SdPHmS999/H7BdR/6W3lrY+MknLicx/ubPopAI1PR6XMOZlp2Pgev9mMcEmc8++4wDBw7QrFkzLrzwQrfjBLW6HTsSER3NrmXLOLR1q9txjB/5sygsBeqLSB0RiQJuBmZ6zyAi9b0eXgNs8mMeE2TeffddwFoJhSEqJoZ6V18NwMbp011OY/zJb0VBVVOAAcDXwHpgqqquFZEhItLJmW2AiKwVkZXAQ8Dt/spjgsvWrVv55ptvKF68OD179nQ7Tkho1LUrAL/PmEFacrLLaYy/+HVAPFWdDczONG2Q1/37/bl+E7zee+89ALp27UrZsmVdThMaKjVrRtlzzuHg5s3sWLSIuPbt3Y5k/MD1jmZj8is1NTWjKPz73/92OU3oEBEaOuMh2TkLwcuGzjaFxlfDPe/47jsSEhIoXasWk6tU4WM/DyNt/qdB58788uqr/Ll4MUl//UVMlSpuRzI+Zi0FE3DSf6U2vOEGJMz+hAtT8bJliWvXDk1L4/fPPnM7jvED+x9lAsqJ/fvZvmABEhZGAxsi2xUNnQ7njdOno2lpLqcxvmZFwQSUTZ9/jqakULN1a0pWrux2nJBU/Z//pGTVqhz98092/vKL23GMj1lRMAFDVdngnFGbfgEYU/jCwsNp6LTS7Azn4GNFwQSM3b/+yqEtWyhRoQK1Lr/c7TghreENN4AIW+fO5dThw27HMT5kRcEEjPQzaRtcfz1hkZEupwltpWrUoPoll5B6+rRdlS3IWFEwAeF0UhJ/fPUV4PxKNa5L34W3wYa9CCpWFExA2PLVV6QcP06V+HjK1K3rdhwDxLVvT7HYWPavW8e+tWvdjmN8xIqCCQgZHczO4ZDGfeFRUf+7Kpt1OAcNKwqmyDuwaRN7Vq0iMiaGOh06uB3HeEkf9mLzrFmknDzpchrjC1YUTJGXftjjOddcQ2R0tMtpjLfyDRtS8fzzOX30KFvnznU7jvEBKwqmSEs9fZpNMz2X4Who5yYUSY1skLygYkXBFGnb5s/n5MGDlG/UiIpNmrgdx2Sh3tVXe67KtnSpXZUtCFhRMEVaxuB3N96IiLicxmQlKiaGuh07ArDx009dTmPOlhUFU2QdSUgg8ccfPUe5XHed23FMDtJ3If3+2Wd2VbYAl6eiICKfisg1ImJFxBSa351fnXU6dKBYbKzLaUxOKjdvTpl69Tixdy87vvvO7TjmLOT1S/4toCewSUT+KyIN/ZjJGNJSUzOGtbDB74o+Eflfh/PUqS6nMWcjT0VBVb9R1V7AP4BtwDci8qOI3CkiNgiN8bmE77/n2O7dlK5dm6oXXeR2HJMH9Tt3JiwyMuOqbCYw5Xl3kIiUB+4AegO/Aq/jKRLz/JLMhDTvIbKtgzkwlChXjrj27dG0tIxWngk8ee1TmAEsBqKB61S1k6pOUdX7gBh/BjSh5/iePZ6rq4WH06BzZ7fjmHxo1K0b4BnRNjU11eU0piDy2lIYq6qNVfVFVd0FICLFAFQ13m/pTEjaOGMGmpJC7SuuILpSJbfjmHyo3rIlpWrUIGnnTubNs50IgSivReH5LKb95MsgxgBoWlrGuQnpvzpN4JCwsIwzz8eOHetyGlMQORYFEakiIhcCJUSkuYj8w7m1wbMryRifSlyyhKMJCcRUq0aNVq3cjmMKoGGXLkh4ODNnzmT37t1uxzH5lFtLoQPwClADGA686tweAp7wbzQTitIPZ2x0442EhYe7nMYURMnKlal1+eWkpKQwYcIEt+OYfMqxKKjqRFVtC9yhqm29bp1U1c5nNz51Yv9+ts2fj4SF0cCurhbQ0nf9jRs3jrS0NJfTmPyIyOlJEblFVT8E4kTkoczPq+pwvyUzISd9iIRabdsSU6WK23HMWah52WXUqFGDzZs3s2DBAtq1a+d2JJNHue0+Kun8GwOUyuJmjE+oasauo3NvusnlNOZshUVE0Lt3bwBGjx7tchqTH6KqbmfIl/j4eF22bJnbMUwB9Nu4Mdvndi5Zwqw77qBk5cr0mD+fsIgcG7EmADxdsiS1a9cmLCyMhIQEKleu7HakkCYiy/NyCkFeT14bJiKlRSRSROaLyF4RueXsYxrjsW7KFMCzL9oKQnCoUaMG1157LSkpKYwfP97tOCaP8nqewpWqegS4Fs/YR+cAj/grlAktx/ftY+u8eWcc426Cw9133w14zlmwDufAkNeikP7T7Rpgmqoe9lMeE4I2Tp+OpqRYB3MQuvLKK6lduzZbt261M5wDRF6LwiwR2QBcCMwXkYrASf/FMqEiLTU1o4O58c03u5zG+Fp4eDh9+vQBrMM5UOR16OzHgX8C8aqaDBwDbKQyc9YSfviBo4mJlKpe3c5gDlJ33XUXERERzJw5k8TERLfjmFzk50pqjYDuInIbcCNwpX8imVCy/uOPATi3e3ckzC7sF4yqVq3K9ddfT2pqKuPGjXM7jslFXo8++gDPcBeXAi2cm42Oas5K0q5d7Fi4kLDISDuDOcj1798fgDFjxpBs13Au0vJ67F880FjzeVKDiHTEczGecGCcqv430/MP4bloTwqwF7hLVbfnZx0mcK2fOhVNS6NOhw5EV6jgdhzjY97npWjVqpSpW5edW7Zw9dtvU7dDBxeTnWl0Q7u6sLe8ttfXAPk6LEREwoFRwFVAY6CHiDTONNuvePopzgc+AYblZx0mcKWePp0xRPZ5PXu6nMb4m4jQuEcPANZNnuxyGpOTvBaFCsA6EflaRGam33J5zUXAZlXdoqqngY/J1DmtqgtU9bjzcAme0VhNCNg6dy4n9u2jbP36VIm3PZGhoMH11xNRogQ7lyzh4B9/uB3HZCOvReEZ4HrgBf43fParubymOvCn1+MEZ1p2/g18ldUTItJXRJaJyLK9e/fmMbIpytZ+9BEA5/XqZddgDhFRpUpxznXXAf87wMAUPXk9JHURnjOZI537S4EVvgrhDJkRD7yczfrHqGq8qsZXrFjRV6s1Ltm/YQO7V6wgMiaG+s6XhAkN6buQNs6YQfLx47nMbdyQ16OP+uDZ559+9kl14LNcXpYI1PR6XMOZlnnZ7YEngU6qeioveUxgWztpEuDZnRBZsmQuc5tgUuHcc6ncvDnJSUlsmpnbHmjjhrzuProXaAUcAVDVTUBuV1RfCtQXkToiEgXcDJzxVyAizfEUmk6quic/wU1gOnXkCJtnzQKsgzlUpX/uaydNItBGaQ4FeS0Kp5zOYgBEJALI8dNU1RRgAPA1sB6YqqprRWSIiHRyZnsZz7UaponIyjx0XpsA9/uMGaScOEH1Sy6hTN26bscxLqjToQMlKlbk4KZN7Pz5Z7fjmEzyWhQWicgTQAkR+RcwDfgitxep6mxVbaCq9VR1qDNtkKrOdO63V9XKqtrMuXXKeYkmkKWlprLmww8BaGythJAVHhWVMc7VWufvwRQdeS0Kj+M5uew3oB8wG3jKX6FMcNqxaBFH//yTUtWrU/uKK9yOY1x0bvfuhEVGsv3bbzmSkOB2HOMlr0cfpeHpWO6vqjeq6tj8nt1szJr33wfgvFtuISw83OU0xk3RFSpQ7+qr0bQ01jmHJ5uiIceiIB7PiMg+YCOw0bnq2qDCiWeCxW+//cbOJUuIiI6mYdeubscxRcB5t3gu3rjhk0/s8NQiJLeWwoN4jjpqoarlVLUccDHQSkQe9Hs6EzRGjhwJeA5DLVa6tMtpTFFQqWlTKl1wAaePHLHDU4uQ3IrCrUAPVd2aPkFVtwC3ALf5M5gJHvv27eNDp0OxyS12aW/zP01uvRXw7FpUu1xnkZBbUYhU1X2ZJ6rqXiDSP5FMsBkzZgwnT56k5uWX22Go5gx1O3SgZJUqHNqyhT8XL3Y7jiH3onC6gM8ZA8Dp06cZNWoUAE2dX4XGpAuLjMxoLax+7z2X0xjIvShcICJHsrgdBZoWRkAT2CZPnszOnTtp0qQJ1e1ymyYLjbp1IzI6mp1LlrBv/Xq344S8HIuCqoarauksbqVU1XYfmRypKq+88goA//d//2ejoZosFStdmoY33gjAbxMmuBvG5Osazcbky9y5c1mzZg1Vq1alhzM6pjH6iBKsAAAYg0lEQVRZaXLbbUhYGH/Mns2x3bvdjhPSrCgYv0lvJQwcOJBixYq5nMYUZaVr1CDuX/8iLTnZhr5wmRUF4xcrV67km2++ISYmhrvvvtvtOCYAnH/nnQCsmzKF00lJLqcJXVYUjF+ktxJ69+5NmTJlXE5jAkHlZs2oEh/P6SNH2DB1qttxQpYVBeNz27dvZ8qUKYSHh3P//fe7HccEkGZ9+gCwesIEUk/bUe9usKJgfO7ll18mJSWF7t27ExcX53YcE0Bqtm5NuQYNOL5nD5s+/9ztOCHJioLxqb/++otx48YB8J///MflNCbQiEhGa2HVuHGkpaa6nCj0WFEwPvXaa69x6tQpOnfuTJMmTdyOYwJQ3auuolT16hzevp1t8+a5HSfkWFEwPnPw4EHeeustwFoJpuDCIiI4/9//BmDlmDF2HedCZkXB+MyoUaM4evQo7dq14+KLL3Y7jglgDW+4gRLly7Nv3TobKK+QWVEwPnHs2DFee+01AJ544gmX05hAF1G8OOffdRcAK0aNstZCIbKiYHzirbfeYv/+/Vx88cW0bdvW7TgmCDTu0YPiZcuyZ9UqEn/4we04IcOKgjlrSUlJDBs2DIDBgwfbwHfGJyKjozNaC8uttVBorCiYszZq1Cj27dvHxRdfTMeOHd2OY4JI4x49KBYby+5ff2XnkiVuxwkJVhTMWTl69Cgvv/wyAM8++6y1EoxPRcXEZIyJZK2FwmFFwZyVN998k/3793PJJZdw5ZVXuh3HBKHzbrmFYrGx/LVsmbUWCoEVBVNgR44cyRj4bsiQIdZKMH7h3Vr4ZcQIay34mRUFU2Cvv/46Bw4c4NJLL6Vdu3ZuxzFBrMltt1GifHn2rl7N9vnz3Y4T1KwomALZu3dvRl/Cc889Z60E41eR0dE0d67LsfS112xMJD+yomAK5IUXXuDo0aNcddVVtGnTxu04JgSc2707MdWqcXDzZjbPmuV2nKBlRcHk27Zt23jrrbcQEV588UW345gQER4VRfx99wGw/I037HoLfmJFweTboEGDOH36NL169eKCCy5wO44JIed06kSZevU4mpDA+ilT3I4TlKwomHxZvXo1H374IZGRkQwZMsTtOCbEhIWHc9GDDwKe8xZOHTnicqLgY0XB5Mtjjz2GqtK/f3/q1KnjdhwTgmq3a0fV+HhOHTrEr++843acoGNFweTZ7NmzmTNnDrGxsTz55JNuxzEhSkRo+fjjAKz54AOO7NjhcqLgYkXB5ElycjIPPfQQ4OlTqFixosuJTCir2KQJ9Tt3Ji05mZ9ffdXtOEHFioLJk1GjRrFx40YaNGjAgAED3I5jDC0efJDw4sXZ+vXX/LVihdtxgoYVBZOrvXv38swzzwAwfPhwoqKi3A1kDBBTpQoXOENr/zh0qJ3Q5iN+LQoi0lFENorIZhF5PIvnW4vIChFJEZEb/ZnFFNygQYM4fPgwHTp04Oqrr3Y7jjEZLujdm5JVq7Jv7Vo2TJ3qdpyg4LeiICLhwCjgKqAx0ENEGmeabQdwB/CRv3KYs7Ns2TJGjx5NeHg4w4cPt+EsTJESGR3NJU6n8y8jRnDiwAGXEwU+f7YULgI2q+oWVT0NfAx09p5BVbep6mogzY85TAGlpqbSr18/VJUHH3yQxo0z13Rj3FfnyiupcemlnD5yhJ+dUXtNwfmzKFQH/vR6nOBMyzcR6Ssiy0Rk2d69e30SzuRu1KhRrFixgpo1azJ48GC34xiTJRGh1VNPERYZye+ffmqdzmcpIDqaVXWMqsararwdClk4EhMTeeqppwDPhXRiYmJcTmRM9mLj4rigd28Avn/2WdKSk11OFLj8WRQSgZpej2s400wAePDBBzl69CidO3emU6dObscxJlfN+/alVM2aHNi4kZXvvut2nIDlz6KwFKgvInVEJAq4GZjpx/UZH/n888+ZNm0aJUuWZOTIkW7HMSZPIkqUoPVzzwGwYtQoDm7e7HKiwOS3oqCqKcAA4GtgPTBVVdeKyBAR6QQgIi1EJAHoBowWkbX+ymPyZv/+/fTr1w+AoUOHUqtWLZcTGZN31Vu2pFG3bqQlJ7PoySft3IUC8GufgqrOVtUGqlpPVYc60wap6kzn/lJVraGqJVW1vKqe5888Jnf33Xcfu3fvpnXr1tznjF1vTCBp+eijlKxcmT2rVrHmgw/cjhNwAqKj2RSOTz/9lMmTJxMdHc348eMJC7M/DxN4okqV4lLnDPylr73Goa1b3Q0UYOx/vQFg37593HPPPQAMGzaMevXquZzImIKr3bYt53TqROrJkyx45BE7GikfrCgYVJW77rqLPXv20KZNm4ziYEwgu/Tpp4mpVo29a9aw7M033Y4TMKwoGN544w2++OILypYty8SJE223kQkKUaVK0XbYMCQsjJVjxrBr6VK3IwWECLcDmLPXb+PGAr9237p1fPbwwwDEP/ssQ0+cgLNYnjFFSdX4eJr168evb7/Nt48+yo2ffUax2Fi3YxVp9pMwhCUfO8b8hx4iLTmZc2++mTpXXul2JGN87sL+/al4/vkc27WLBY8/jqbZUGs5saIQolSVxc88w+Ft2yhbv37GSJPGBJuwyEjavfoqUaVLs2PBAlaOHet2pCLNikKIWvP++2z+4gsioqNpN3w4EcWLux3JGL8pXbMmbV96CYBlr79O4k8/uZyo6LKiEIJ2LlnCkmHDAGjzwguUq1/f5UTG+F/ttm1pfs89aFoa8x96iKRdu9yOVCRZUQgxRxMT+ebBB9HUVJr17Uvdjh3djmRMoblwwABqtGrFyYMHmXvvvSQfP+52pCLHikIIOZ2UxNx77+XkwYPUvOwy4u+/3+1IxhSqsPBwrnjlFUrXqsW+dev49pFHSLXxkc5gRSFEpCUnM2/gQPZv2EBsXBxXvPIKYeHhbscyptAVL1uWju+8Q1Tp0myfP5/H7SCLM1hRCAGqyneDBpH444+UKF+eq8aOtWO1TUgrU7cuV44ciURE8MorrzB69Gi3IxUZVhRCwPI33+T3GTOIKFGCDu+8Q+maNXN/kTFBrlrLlrR+9lkA+vfvz9SpU11OVDRYUQhyq997jxWjRiFhYbQbPpxKTZu6HcmYIqNh164MGTKEtLQ0evXqxezZs92O5DorCkFszYcfssQ5Nvuy556jdtu2Licypuh56qmnePjhh0lJSaFr164sWrTI7UiusqIQpNZ9/DE/Pv88AJc+8wyNunZ1OZExRZOIMGzYMPr27cvJkye59tprWbhwoduxXGNFIQit+eADvncuMvLPJ5+k8c03uxvImCJORHjrrbe45ZZbSEpK4qqrrmLOnDlux3KFFYUgoqose+MNfhw6FICWjz1Gk1tvdTmVMYEhPDycCRMm0KdPH06ePEmnTp2YMWOG27EKnRWFIKFpafzw3HMZncqthw7l/DvvdDuWMQElPDyc0aNH88ADD5CcnEy3bt1C7nBVKwpBIPnYMebdfz/rPvqIsMhI2r/+uvUhGFNAIsLw4cMZNGgQqamp3H333Tz88MOkhciQ21YUAty2bdv4vGdPts2bR1SpUlw9dix1/vUvt2MZE9BEhGeffZbx48cTERHBq6++SteuXTl27Jjb0fzOikIAW7RoES1atODAxo3ExsVx/ZQpVGvZ0u1YxgSNO++8k7lz51KmTBk+++wzLr74YjZs2OB2LL+yohCAUlNTGTJkCFdccQX79u2jRqtWXD9lCmXq1nU7mjFBp23btvz00080atSItWvXEh8fz8cff+x2LL+xohBgEhMTadeuHYMHD0ZVefzxx+k4erSNZWSMHzVq1IilS5fSo0cPjh07Ro8ePejbty9Hjx51O5rPWVEIEKrKhAkTaNKkCYsWLaJy5crMnTuXF198kbCICLfjGRP0YmJimDRpEm+99RZRUVGMHTuWpk2bsmDBArej+ZSoqtsZ8iU+Pl6XLVtWaOvrt3Fjoa0rO0cTEjJGOQWoefnlXD50KNEVKriczJjAN7phw3y/Zs2aNdx+++2sWLECgHvuuYehQ4dStmxZX8fzGRFZrqrxuc1nLYUiLOXECZaPGsW0664j8ccfKRYbS9thw+j4zjtWEIxxUZMmTViyZAnPPvssERERvP322zRo0IB333034A9dtaJQBGlaGpu/+IIpV13F8jfeIOXECepefTU3zZ5N/U6dEBG3IxoT8iIjIxk0aBArVqygdevW7Nu3j969e9OyZUu+/fZbt+MVmBWFIkTT0tg6dy7Tu3Th20ce4dhff1G+cWOu++AD2g8fTony5d2OaIzJpGnTpixcuJBJkyZRtWpVli5dSrt27Wjfvj0///yz2/HyzYpCEZB6+jSbv/iC6V26MG/gQA5s3EjJypVp/fzzdJk2jaotWrgd0RiTAxGhZ8+e/P777zz//PPExsYyf/58WrZsSfv27ZkzZw6B0n9rHc258GdH84n9+1k/bRrrJk3i+N69AJSsXJlm/frR6MYbCY+K8tu6jTEeBelozs3Bgwd5+eWXeeONN0hKSgI8/RD33XcfPXr0oFSpUj5fZ27y2tFsRSEXvi4KacnJ7Fi8mN8//ZTtCxeiKSkAlD3nHJrceisNunSxYmBMIfJHUUh36NAhRo8ezeuvv86uXbsAKFmyJD169ODOO++kZcuWhIUVzg4bKwo+4ouikHr6NDt//pmtc+ey7ZtvOHnwIAASHk7Nyy6jya23Uv2f/7QOZGOCVOrp0/zx1VdsmDaNv7y+v2KqVaNux47U7diRik2aINkUCF8ULisKPlLQopC0axcJ33/Pn4sXk/jTT5z2OvOxTL16NLzhBupfdx3RlSr5KqoxJgAc/OMPNk6fzh+zZ3Psr78yppeoUIGarVtT6/LLqXbRRRT3OufBikIOimJRSEtN5fC2bexeuZK/li3jr+XLObJjxxnzlK1fnzpXXkndDh0oW7++tQqMCXGalsbuX3/lj9mz2fbttxxzdi+lK9ewIdUuuohKzZoxrksX4uLizup7w4qCj2QuCqeTkjj0xx8c2LSJA5s2sX/tWvatW0fy8eNnzBcZHU21li2pedll1Lj0UkrXrFlomY0xgUVVOfj772xfuJCEH35gz8qVpJ4+fcY8lSpVonnz5lxwwQWcf/75NG3alPr161OiRIk8raNIFAUR6Qi8DoQD41T1v5meLwa8D1wI7Ae6q+q2nJbp76Jw7Ngxdu3aRUJCAtu3b+eN5cs5mpjIke3bObxjByeco4Qyi6lWjQrnnUfV+HiqXHgh5Rs1sjGJjDEFknLqFHtWrWLX0qXsWb2a42vWsH///r/NJyLUqlWLBg0aUKdOHerUqUNcXBw1a9akevXqVKtWjSjnwBXXi4KIhAO/A/8CEoClQA9VXec1T3/gfFW9W0RuBrqoaveclpvforBz50527NjB4cOHOXLkCIcPH+bgwYMcOHCAAwcOsG/fPvbs2cOePXvYvXs3hw8fznF54VFRlKlbl7L161Oufn3KNWxIhfPOs2EnjDF+806DBmzdupWVK1eyevVqVq1axfr16/njjz9IcY5gzE7Pnj2ZNGlSnouCP3/KXgRsVtUtACLyMdAZWOc1T2fgGef+J8CbIiLqw0r1yiuvMGLEiDzPHxUVRbVq1ahWrRq1a9dmfUwMMdWrU7pWLcrExVGySpVsjxAwxhh/EBHq1q1L3bp1ueGGGzKmJycns2XLFjZt2sTWrVvZunUr27ZtIzExkcTERHbt2kVMTEy+1uXPolAd+NPrcQJwcXbzqGqKiBwGygP7fBXinHPOoUWLFsTGxhIbG0vp0qUpV64c5cqVo2zZslSoUIFKlSpl3MqVK3dGZ05RGCXVGGOyEhkZScOGDWmYzdFJKSkpnDx5Ml/LDIid3iLSF+gLUKtWrXy9tn///vTv37/A6/bniS3GGONPERER+W4p+HM/SCLgfchNDWdalvOISAQQi6fD+QyqOkZV41U1vmLFin6Ka4wxxp9FYSlQX0TqiEgUcDMwM9M8M4Hbnfs3At/6sj/BGGNM/vht95HTRzAA+BrPIanjVXWtiAwBlqnqTOBd4AMR2QwcwFM4jDHGuMSvfQqqOhuYnWnaIK/7J4Fu/sxgjDEm7+zYSmOMMRmsKBhjjMlgRcEYY0wGKwrGGGMyBNwoqSKyF9heiKusgA/PsC6CbPsCVzBvG9j2+VptVc31RK+AKwqFTUSW5WUQqUBl2xe4gnnbwLbPLbb7yBhjTAYrCsYYYzJYUcjdGLcD+JltX+AK5m0D2z5XWJ+CMcaYDNZSMMYYk8GKgjHGmAxWFLyIyHgR2SMia7ymvSwiG0RktYjMEJEybmY8G9ls33POtq0UkbkiUs3NjAWV1bZ5Pfd/IqIiErAX0s7ms3tGRBKdz26liFztZsazkd3nJyL3Of//1orIMLfyna1sPr8pXp/dNhFZ6WbGdFYUzjQB6Jhp2jygiaqeD/wO/KewQ/nQBP6+fS+r6vmq2gyYBQz626sCwwT+vm2ISE3gSmBHYQfysQlksX3ACFVt5txmZ/F8oJhApu0TkbZ4ruN+gaqeB7ziQi5fmUCm7VPV7umfHTAd+NSNYJlZUfCiqt/hua6D97S5qpriPFyC5wpyASmb7Tvi9bAkEJBHHmS1bY4RwKME6Haly2H7gkI223cP8F9VPeXMs6fQg/lITp+feC4KfxMwuVBDZcOKQv7cBXzldghfE5GhIvIn0IvAbSn8jYh0BhJVdZXbWfxogLP7b7yIlHU7jI81AC4TkZ9FZJGItHA7kJ9cBuxW1U1uBwErCnkmIk8CKcAkt7P4mqo+qao18WzbALfz+IKIRANPEERFLgtvA/WAZsAu4FV34/hcBFAOaAk8Akx1flUHmx4UkVYCWFHIExG5A7gW6BXk15CeBHR1O4SP1APqAKtEZBue3X4rRKSKq6l8SFV3q2qqqqYBY4GL3M7kYwnAp+rxC5CGZxC5oCEiEcANwBS3s6SzopALEemIZ590J1U97nYeXxOR+l4POwMb3MriS6r6m6pWUtU4VY3D8wXzD1X9y+VoPiMiVb0edgH+duRVgPsMaAsgIg2AKIJv1NT2wAZVTXA7SDq/XqM50IjIZKANUEFEEoDBeI42KgbMc1quS1T1btdCnoVstu9qEWmI51fYdiBotk1V33U3le9k89m1EZFmeDrRtwH9XAt4lrLZvvHAeOcwztPA7YHaUs/h7/NmitCuI7BhLowxxnix3UfGGGMyWFEwxhiTwYqCMcaYDFYUjDHGZLCiYIwxJoMVBROURCTVGX1yjYhMc85w9te6hohIe+f+A/ldl3h8KyKlRaSiiHzv5L7ea57PvUewFZFXROQK322FMR5WFEywOuGMQNkEzzHueTr/wvmCztf/C1UdpKrfOA8fAPJbgK4GVjmDE/YA3sFzdvIDTqbrgF9VdafXa94AHs/neozJlRUFEwoWA+cAiMhDzq/wNSKS/qUbJyIbReR9PGcF1xSRHiLymzPfS8584SIywZn2m4g86EyfICI3ishAoBqwQEQWiMhdIvJaeggR6SMiI7LI1wv43LmfjKeoFANSnWEQHgDOuJaAqm4HygfTsB2maLCT10xQEpEkVY1xvlSnA3OAX/CMa98SEOBn4BbgILAF+KeqLnF20ywBLnSemwuMBP7EM5Tzv5x1lFHVQyIyAZilqp844yzFq+o+EYkBVgGNVDVZRH4E+qnqb5mybsdzzY6jIhILfARUBh4DzgOOqOqELLZxLDBHVaf75l0zxloKJniVcK5ktQzPBXbeBS4FZqjqMVVNwnNRk8uc+ber6hLnfgtgoaruda6lMQlojadw1BWRN5wxsbyvRfE3zjq+Ba4VkUZAZOaC4Cinqked1xxW1WtUNR5YAVwHfCIiY0XkExG5xOt1e/C0TIzxGRv7yASrE84VrTLkMurysdwWqKoHReQCoAOePoqb8FxjIyfj8AzhvQF4L5t5UkQkzBnt1NvTwFA8/QzfA5/gKWQdnOeLAydyy21MflhLwYSSxcD1IhItIiXxjCy6OIv5fgEuF5EKIhKO50t5kXiu8Rzm7K55CvhHFq89CpRKf6CqPwM1gZ5kP/DZRqCu9wRn9NoaqroQTx9DGp6B70p4zdaA4BsZ1bjMWgomZKjqCmf//y/OpHGq+quIxGWab5eIPA4swNP38KWqfu60Et7zOjopq+t1jwHmiMhOVW3rTJsKNFPVg9lE+xLPCJqbvaYNBZ507k/GM4z04zgXDRKRSDyd58ty225j8sM6mo3xMxGZBYxQ1fnZPF8VeD+9AzuPy+yC5/oQT/sopjGA7T4yxm9EpIyI/I6nfyPLggCelgkwVkRK52PxEQTf5TdNEWAtBWOMMRmspWCMMSaDFQVjjDEZrCgYY4zJYEXBGGNMBisKxhhjMvw/QlxLHQDZNXEAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "hrange = (12, 17.2)\n",
    "mu, std = norm.fit(z.por)\n",
    "ahist=plt.hist(z.por, bins=7, density=True, alpha=0.6, color='c', range=hrange)\n",
    "\n",
    "xmin, xmax = plt.xlim()\n",
    "x = np.linspace(xmin, xmax, 100)\n",
    "p = norm.pdf(x, mu, std)\n",
    "plt.plot(x, p, 'k', linewidth=2)\n",
    "title = \"Fit results: mu = %.2f,  std = %.2f\" % (mu, std)\n",
    "th=plt.title(title)\n",
    "xh=plt.xlabel('Porosity (%)')\n",
    "yh=plt.ylabel('Density')\n",
    "xl=plt.xlim(11.5, 17.5)\n",
    "yl=plt.ylim(-0.02, 0.45)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import scipy.stats as stats\n",
    "qqdata = stats.probplot(z.por, dist=\"norm\", plot=plt, fit=False)\n",
    "xh=plt.xlabel('Standard Normal Quantiles')\n",
    "yh=plt.ylabel('Sorted Porosity Values')\n",
    "fig=plt.gcf()\n",
    "fig.set_size_inches(8, 8)\n",
    "th=plt.title('')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "What is the optimal \"lag\" distance between points?  Use the utilities scattergram() function to help determine that distance."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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cHR1ZtGgRmzdvJjQ0FCEE6enpREZG4uam3Lm3YzgFaxdwP3BECBEIWAB9D3lWDBr19fU4OTl1m7q4uLhw7dq1IbelJ0e0i4sLZWXG6f6MjIzE39+fzMxMtFot8fHxSqzuwpAIlhDic2ARMF4IcQN4C/gQ+FAIcRFoBZ7paTqoGD4mTJhAaWkptbW1ODg4GMozMzOH3Jc4adIkvv32W1pbWw0R5lJKLl26xIwZM4bUloHExcWF6Ojo4TbDaBgSwZJSrrlN1Q+Hon9F/7C2tmb+/Pls3bqVmJgYHBwcSE9P58aNGyxdunRIbXFxcWHatGls2bKF6OhoLC0tSUpKoq2tTWUdHUOoSPdRTHl5OUeOHOHatWtYW1sza9YsoqKienw6dSeysrJITk6mqakJHx8foqKi+rX+D3TO81OnTnH+/Hmam5vx9fXl/vvv71XckZSS1NRU0tLSaGtrIzAwkHHjxvH9999TUVGBm5sb0dHR/c6xVVtby5EjR8jOzsbc3JywsDAWLlw4IBHtxshIDBxVgjVKqampYfPmzQQEBGBjY4NWqyU/Px8vLy/i4uL63W5jYyOZmZm0trbi7+/fZ5/L119/TXV1NbGxsdjZ2ZGWlsbZs2dZv359t8j38vJyamtrmTBhQo/R5RkZGRw4cIC4uDi8vLzIz89n3759rFixgoCAgD7Z1dLSwsaNGwkJCWH27Nm0trZy5MgRtFota9bcboJgPGi1Wo4fP86JEycwNTXloYceYtasWXdcFTASBUstfh6lnD17lvr6eq5du4ZGo6Gmpoby8nKOHz9OfX19v9q8cuUKv//978nPz6e6uppt27Zx4MCBXgdw1tTUcOnSJVavXo2HhwcODg4sWLCAoKCgLon8Ghsb2bp1K1u3buX48eO89957HDlypFs/R48e5bHHHmPq1KnY2toybdo0li9fzrFjx/p8b6mpqUycOJHY2FgcHR1xc3Nj1apVlJaWUlxc3Of2RhJSSn7961/zxz/+ERcXF2xsbPjNb37Dn//85+E2rc+MzbHuGCA5ORlTU1N+8pOfGPJFZWdn89Zbb1FaWoqdnV2f2mtra+Orr75izZo1Bof74sWL2bx5M35+fvj5+QG6QNP8/HwsLS3x8fHpMv0sKyvDw8OjW1oWX19fUlNTAd3TwI0bN+Li4sJrr72GmZkZ9fX1bNu2jfHjxxMaGgroRgzl5eXdFjn7+PiwY8eOPt0b6DKL+vj4dCkzMTFh8uTJlJaWMnHixD63OVI4c+YMqampfPTRR4wbNw6AVatWsW7dOuLi4gZsofhQoEZYo5Sqqio8PT27bN3u4+NDc3NzvxLPXbt2DTc3ty5PB62srJgzZw4ZGRkAnDp1it///vekpqZy+PBh3nvvPUpKSgznOzs797i8p7CwEGdnZ06cOMH//M//kJycTHNzM3/84x8pKyvDzs6O+++/n/PnzxuuMTExYdy4cd1GP0VFRTg7O/f5/pydnSkqKupSJqXsd3sjiRMnThAdHW0QKwBPT0/Cw8M5fvz4MFrWd5RgjVL8/PzIyMggIyMDrVZLXV0du3btwtXVtUuIQm+RUt52KYmUkvz8fM6ePcsrr7zCmjVrWLduHQ888AAJCQmGpSYuLi54eXmxe/du6uvr0Wq1pKenc/78ecaPH8/58+eJj48nMjKSl19+mYULF/Lll18ipcTe3p6mpqYufc+fP59du3YZRLGwsJC//e1vzJs3r8/3FxERQU5ODklJSbS3t9PU1MS+ffuwsrIy+g0nLCwsaGxs7Fbe2NiIpaXlMFjUf9SUcJQSGRlJTU0N3333HTt37sTU1BR3d3cCAgL6FaHu4+PDrl27KCoqwsPDA9ClXElKSuLBBx8kNTWVqKioLmIYGhrKyZMnKSgoYPLkyQA8/vjjfPvtt/z+979Ho9Hg4eHBmjVrOHfuHPPmzcPb2xspJdevXyciIoJTp05RWFjIxYsXu03ZZs+ejVar5bPPPqOpqQlbW1sWLlzYr+R9tra2xMfHk5iYSGJioiHd8po1a4w+b/uyZct48803yc7OJjAwEND5OHNycnj77beH17g+ogRrlBIWFkZOTg6lpaXMmTOH+vp6cnNzWbVqVZ/DGkD3K71ixQq2bdtGcHAwNjY2XLx4EX9/f/z9/UlNTe3xSZ6NjQ2tra1d2nn44YdZtmwZGo3GMGU9efIk1tbWmJiYsHTpUr788kuioqKoqalh7969NDc38/zzz3dpWwhBZGQkc+fOpa2tDXNz83sSFzc3N+Lj4w3JAEdLRtGpU6fy9NNP8/rrrxMYGEhbWxv5+fls2LBh0NPyDDRKsEYpJiYmPPnkk+Tn55OXl4ejoyNLly7td/wUQHBwMJ6enmRkZNDS0sKqVasMozV/f39SUlIIDQ01CGJFRQVFRUU9RsWbmJh0Ec6AgABSUlIICQkhODgYR0dHDh06RFpaGuvWreO+++67beI8IcSA5lfv7PcbLaxdu5bY2FiOHz+Oubk5ixYtMroF46DisBQDhEaj4bPPPqOtrY3w8HDq6+s5d+4cixcvZubMmXe9vr29nU8++QTQTSXr6uoM082Bys+u6BsjMQ5LCZZiwNBoNGRmZpKbm4ulpSURERF9CgfQaDRkZGSQm5uLtbU1ERERA56dVNF7lGANAEqwFIqhYSQKlgprUCgURoMSLIVCYTQowVIoFEaDEiyFQmE0KMFSKBRGgxIshUJhNCjBUigURoMSLIVCYTSotYSjDCklra2tmJub92uR81Ch0WjQaDRd1gBKKWlpaaGgoICMjAyklAQFBREUFGT0GRMUA4MSrFHEpUuXOHToEDU1NZibmzNnzhxiYmJGjHA1Nzdz9uxZ9u7dS0lJCRMnTiQgIIAlS5ZQXl7OsWPHuHDhAjU1NSxfvpywsDCOHTtGVlYWjz32WI+iJaXkypUrpKen097eztSpU7sswFaMLpRgjRKuXbvGN998w8qVK/Hx8aGqqoqvv/6aw4cPExsbO9zm0djYyIcffsiVK1fw8fHhwQcf5MKFC7i4uPDOO+/g6upKXFwc7e3trFq1isTERDQaDc8//zwbN27k+vXrhpxanTl06BBZWVlERUVhbm5OcnIyly5d4gc/+IEalY1C1M/QCKe9vZ2Ghoa7bvRw+vRpYmNj8fX1RQiBs7MzTzzxhGHvvltpbW3tlsFzMDlz5gzjxo3Dy8uLV199lZiYGFauXMnVq1fRaDRMnDiRpqYmgoKCcHd3Z9myZZw6dQozMzOmT5/OlStXurVZWVnJ+fPnef7555k9ezbh4eE888wzVFdXk5OTM2T3phg61AhrhKLRaDh06BDnz59HCIGVlRWxsbGEhIT0eH5lZaUhE2gH9vb2WFpaGracB90mD998841BANzd3YmLixv0TRauXr2Kn58fLS0t7Ny5k+zsbIQQpKWlGXJjNTY2snfvXtLS0pBScuHCBZ555hkaGhp6TDR37do1AgICsLa2NpSZmpoSGhrK1atXDdk1FaMHJVgjlAMHDlBRUcErr7yCvb09BQUF7NixA2tra3x9fbud7+7uztWrV3F1dTWUVVRU0N7ebtjvT0rJp59+iq+vLz/72c8wMzMjLS2NTz75hJdffvm2O+kUFBSQkpJi2Eg1IiKizwnzrKyssLS0JDExkfj4eN58801MTU35xS9+wenTp6msrKSoqAhzc3OeeuophBCUlZXx5z//GVNTU1555ZUe2+xpy7K6ujqsrKz6ZJ/COFBTwhFIS0sLqamprFy5EgcHB4QQeHt788ADD3DmzJker1mwYAHHjh3j/Pnzhv0IExISWLBggWHn4ry8PLRaLbGxsVhYWGBiYkJERARTp07lwoULPbabnJzMl19+iaurKyEhIeTm5vLxxx93SXvcG2bOnMmRI0ewt7ensrKS8vJyEhMTsbGxwdvbm0OHDmFhYcGLL77I5s2b+ed//mfGjx/PhQsXCA8P77LjSweBgYGUlpaSlZVlKCsuLiYtLU0l/RulqBHWCKS+vh5ra+tu6YwnTJjAyZMne7xm4sSJPP300xw7doyDBw/i4ODAvHnzunxxq6urmTBhQjdn9IQJEygrK+vWZmtrKwcPHuT5559n/PjxAISEhJCQkMD58+eJiorq9T0FBwdz9uxZLl68yJUrV/j6668xMTHhscce48EHH+Svf/0r5eXl7N27F19fXxYvXoyvry9hYWG33cbe3NycNWvWsH37do4ePYqFhQXl5eUsX77c6HKVK3qHEqwRyLhx42htbaWioqLLl/XKlSt3zMDp5eXF2rVrb1s/ceJEjh49ikaj6bLBQm5ubo/+nsLCQsaPH28QK9DlTw8PDyclJaVPgiWEYMWKFRQUFODh4YGUEgsLC7RaLdnZ2cydOxeNRkN8fLxBULVaLYmJicyYMeO27Xp6evLaa69x48YN2tvbmTRp0qjMya7QoaaEIxAzMzOio6P5/PPPycnJobq6mrNnz3Ly5EkWLFjQ73YnTJiAp6cnX3zxBYWFhZSXl7Nv3z4qKioMOyp3xtrauscnlP31Ebm4uFBXV0dKSgpPP/00L730EvX19ezZs4dFixbR1NTEnj17KCsro7i4mO3bt+Po6HjXfQFNTEzw9vbG19dXidUoR6VIHsGkp6dz9uxZamtr8fLyYuHChfec47y9vZ3Tp0+TlpZGW1sbgYGBxMTE9LibjpSSTZs2ERYWRlRUFEIIqqur+fjjj3n00Ue77RN4NyorK9m8eTNRUVGGnXcCAgJob2/H1taWBQsWcPz4cbKysjAxMWH69OksWLBgxIiQVqslNzeX4uJixo0bx7Rp00aMbYPBSEyRrARLcUeqqqpISEgwPG0sLi5m0aJFfZoOdpCTk8OZM2f40Y9+1KX80qVLpKamsnr16oEye8BpbW3l008/pbW1FT8/P0pLSykrKyM+Pv62PjZjZyQKlvJhKe6Ik5MTL774IkVFRTQ1NeHl5dXvkIHx48dTXFxs2PS0g/z8/C7hGL2lra2Nq1evIqXEx8dnULdd/+6777C3t+eJJ54w+NjOnDnD3r17iY+PH7R+FV1RPizFXRFC4Onpib+//z3FNzk5OREQEMCXX37JzZs3DWsLL168yJw5c/rUVm5uLu+++y5nzpwhKSmJd999l4sXL/bbtruRmZnJ/PnzuzxhnT17NoWFhUO6YmCso0ZYiruSlZVFcnKyIXA0KirK4POSUlJbW4uFhUWXiPPbsWLFCo4fP862bdtoamrCz8+P+Ph4HBwc7nqtlJLU1FSSkpJITExk9erVrFixAgsLC0pLS9myZQteXl6DtqNxVVUV58+fp6ioCEdHR2bNmjUo/Shuj/JhKe7IiRMnSE1NJSYmBgcHB9LS0sjLy+OFF16guLiYffv20dTURFtbGz4+PjzyyCM9OvAHgr1791JUVISLiwuFhYW4u7tTW1vLj3/8Y8zMzPjmm29wcHC4pyept2Pnzp189dVXPPvsswQEBFBaWsrWrVvx8PDgH//xHwe8v5GA8mEpjIqmpiZOnjzJK6+8YhgBTZ48mZ07d3Lo0CEyMzNZuXIl/v7+tLW1cfToURISEnj22WcHPFNCRUUFmZmZbNiwgZSUFMzNzVm+fDlbt24lMzOTsLAwrK2taWlpGdB+O2hra8PLy4ucnByklJSUlDBu3DiklEgpVWaIIUL5sBS3paSkBHd3927TtWnTpvHdd98xa9YsAgICEEJgYWHBgw8+SF1dHcXFxQNuS0FBAX5+flhYWODn50dWVhZNTU0EBwdz/fp1WltbSU9PJyAgYMD7BigqKuJnP/sZixcvNmSQ+NWvfoWpqSkNDQ2D0qeiO0MywhJCfAgsB8qklNP1ZW8D64Cb+tP+SUr5zVDYo+gddnZ2VFVVodVquyTEq6ioQEqJm5tbl/OFELi5uVFbW9stc8RA2FJZWQnonjbOnDmTzZs3o9FosLKy4v3332fKlCl3DTK9l/6rqqoICAgwiGJDQwNarXZQn04qujJUI6yPgaU9lL8jpYzQH0qsRhiurq44Oztz6NAh2tvbAd3i4tOnTzNv3jyys7O7nN/S0sL169cHJVWNr68vTU1NnDlzBq1Wy+LFi4mIiCA9PR1HR0diY2N55JFHBm1qNmfOHA4OKKCFAAAgAElEQVQcOEB1dTWgu9e9e/cSGho6qoNHRxpD5nQXQkwB9twywqqXUv5XX9pRTvfB59KlS5w8eZKKigocHR2pr69Ho9FgY2NjiE4vKirim2++wc/Pj6eeego3NzeOHDmCh4cHcXFx/eq3oqKCI0eOcPXqVaytrZkxYwbz5s0zjO4qKyv56quvqK6uxsLCAikly5cvx8/PbyBvv0eklJw8eZKTJ09ib29PbW0tQUFBPPzww6NWsEai0324BevHQC2QBPxUSll1m2vXA+sBvL29Z+Xn5w++wWOU9PR0Dh06RFxcHJ6enuTl5bFv3z5iY2OZOHEiJSUlHD58mLi4OBwdHdm1axf79+9n1qxZLFmyhFmzZvVrlFNXV8emTZuIjIwkPDycuro6vv32W5ydnXnkkUe6nFtVVUVbWxuurq4IIdBqtdy4cQONRsOkSZMM6XQGg9bWViorK7G3tx+0p6EjBSVYXQXLHSgHJPBrYKKU8rm7taNGWIOHlJI//OEPrFixokv+9MzMTM6cOcNzzz3HH//4R+Li4rqsI7x06RKnTp3i+eef73ffhw8fprm5ucvorKWlhXfffZeXX375tnFaRUVFbN++HUtLS8zNzamsrGT58uUEBwf32xaFjpEoWMMW1iClLO14LYTYDOwZLlsUOjQaDdXV1Xh7e3cp9/HxYffu3Wi1WsrLy5kyZUqXel9fX7766qt76ru0tLRbGhlLS0smTpxIWVlZj4LV1tbG559/TlxcnEGgioqK+OSTT5gwYYLKiTUKGbawBiFEZ8/sSmDw1lUoeoWpqSm2traUlpZ2KS8qKsLZ2RkhBA4ODpSUlHSrv9cFwE5OThQVFXUpa29vp6ysDGdn5x6vycnJwc3NrctoysPDg7CwMFJTU+/JHsXIZEgESwjxOXAamCqEuCGEeB74nRAiXQiRBtwPvDEUtihujxCCefPmsWvXLkMG0sLCQvbu3WtYRzd//nx27dplELXCwkL27NnDvHnz7qnvOXPmkJSUxMWLF9FqtdTX17N7924mTZp0W8Fqamoy5KvvjL29Pc3Nzfdkj2JkMiRTQinlmh6KPxiKvhV9IzIyEoBt27bR3NyMnZ0dCxcuZPr06YBOWDo2s2hqasLW1paFCxcSFhZ2T/26uLiwZs0aDhw4wK5duzA1NSUsLIwHH3zwttf4+Phw+PBhmpqaDOsYNRoN6enpLF68+J7sUYxM1FpCRY9IKQ1pYG634/Kd6u+FtrY2TE1Ne7V787fffkt2drZhI9WkpCSsra35wQ9+oHZ/vkeU011hNHQst+lv/b3Ql7im2NhYJk+ebNiqfubMmWqr+lGMEqwxSFtbGzk5ObS0tODr69vjFlrGghCCwMDAfm+aWldXZ9jUderUqaM+tsrYUYI1xrhx4wZffPEF7u7u2NracuDAASIjI1m0aNFwmzbkJCUlcejQIQICAtBqtRw4cIDly5cb/HWKkYcSrDGERqPhyy+/5JFHHmHq1KmAbgHv+++/z+TJk/u8qYQxU1FRweHDh1m/fr0hXqu0tJSPP/4YHx8fNdIaoaiJ/hji+vXr2NvbG8QKwNbWlsjISNLS0obRsqEnIyODsLCwLsGl7u7uBAQEcOnSpWG0THEnlGCNIdrb23t0lFtYWBiyMYwVNBpNj2sOzczM0Gg0w2CRojcowRpDeHt7U1JS0mVbeo1GQ3JycpdR11ggKCiItLQ0GhsbDWW1tbVkZWWNuc/CmFA+rDGEpaUlcXFxfPzxx8yYMQNbW1vS0tJwcnJi2rRpw23ekNHW1oabmxvh4eFs3LiRiIgINBoNqampREdHD9omFop7RwWOGgFSSq5du8bly5cNOyJ7enr2u73y8nLS0tJoaWnBz8/PkOZ4tFNWVkZiYiLXr19HCMG0adMICwsjLy8PExMTpk2bhru7+3CbOWIYiYGjSrBGOFJK9u7dS15eHjNmzKC9vZ3k5GTmzp07KLvDjFYaGxv505/+RExMDDNmzDBsmlFYWMjzzz8/JgS7r4xEweqzD0sIYSuEMB0MYxTduX79OlevXmX9+vXMnz+fmJgY1q1bx8mTJ6mpqRlu84yGCxcu4O/vz5w5czAzM8Pa2pqlS5ca0jorjIO7CpYQwkQI8bQQYq8QogzIAoqFEJlCiP8UQvgPvpljl+zsbMLCwro83esITcjJyRlGy4yLysrKbtNoIQQeHh6GzS0UI5/ejLCOAH7AL4EJUspJUko3YAFwBvgPIcQPB9HGMY25uTmtra3dyltaWkZtLvHBwN3dnWvXrnUp02q15OfnK7+VEdEbwYqVUv5aSpkmpdR2FEopK6WUf5VSPgEkDJ6JY5vp06eTmpraZRRQUFBAXl6eevzeB8LCwiguLubgwYPU1NRQVlbG9u3bcXNzG/AtyRSDh3K6GwHnz5/nwIED+Pj40N7ezo0bN3j88ccHbdPQ0UptbS1HjhwhOzsbc3NzwsLCiI6OViPV2zASne69FiwhxGJgLVCNLp1xGnBRSjk4e4PfhrEoWKB7ynXlyhVMTU0JCAi4bWoXKSU3btwwpBaeMmWKegKm6BcjUbD6Ejj6IfA6YA6EAY8BIYByug8RQog7ik9raysJCQlUV1czefJkvv/+e8zMzFi7di02NjZDaKlCMTj0RbDypZS79K+3D4Yxip5JSUlh//79TJkyhfb2dvbs2cPjjz+Ov3/X34qjR49iY2PD2rVrMTExQUpJYmIi+/fvZ+XKlcNkvUIxcPQmrGGrEOJ14IwQ4s0hsEnRiYqKCg4ePMi6detYvXo1P/zhD1mzZg1ffvklWVlZFBcX0zGtT09PJyYmxpBtUwhBTEwMmZmZaLW65yV98Vkam39TMfrpzQjrYyAccAceEkJsAFL1R5qUUo22BpH09HTCwsK6bKNVXl7OxYsXaW1txdnZGQsLC5566ik0Gk0331ZHWMTmzZsNGzYEBwfz4osv4uvr22OfeXl5bNq0iYsXL2Jtbc3999/Pc889N2gpkRWK3nJXwZJSHgYOd7wXQpgBwehEbA5qejiotLW1YWVlZXhfWFjI4cOHWbp0KdOmTWPWrFl8//33fPHFFwQEBPD9998TGxtrOL9j66yCggJef/113N3d+dvf/sYbb7zBxo0bmThxYpf+bt68yRtvvMGCBQt45513qKioYPPmzRQUFPDb3/52yO5boeiJPmdrkFK2A+n6QzHIBAYGsnv3bu677z4sLCxISUkhNDSUlJQUVqxYgRCCuXPnkpSUxNSpUzl48KBhd+bCwkLS0tKorq7m/fffNySr27BhA5WVlXzxxRe88UbX7SC//PJLgoKC+OlPfwqAn58f06ZN46mnniIvL6/brs8KxVCi0suMcLy9vfHx8WHTpk3MnDmT5ORk6urqeOyxxwxpUDp2ZDYzM+Oll14iPT2d0tJSvLy8sLGxobi4uNu27XPnziUxMbFbf7m5ud0WVdvZ2eHj48OlS5eUYCmGlT4LlhDiQSnlt4NhjKI7QgiWL1/O1atXuXz5Mk5OTjg5OTF//nzDOTU1NRQWFjJp0iTMzc0ZN24cLS0tjBs3DkdHR4qLi2lpacHS0tJwTVZWFm5ubt36c3d35/Lly13K2traDO2DLiastbWVcePGqRgvxZDSnxHWfwBKsIYQIQR+fn74+fnR1tbGli1b+Pzzz4mIiKChoYGTJ0+ycOFChBB88MEHaDQapkyZQlZWFs3NzXh4ePD222/z+uuv4+joyLfffsuRI0f47//+7259rVq1itdee42dO3cSFxdHTU0Nf/jDH3B3d2fy5Ml89tlnXL9+HTMzM6ysrHj44YfH1OYViuGlz0tzhBDnpZQzB8meuzJWI90709raSkpKCrm5uVhZWREREYGvry/79u2jtbXV4NsCOHjwIEVFRWRlZZGamgqAk5MTL774ItHR0T22f+bMGf70pz9RUVEB6NYz/uIXv+Cvf/0rPj4+xMTEYGZmRk5ODrt37+aFF17oNuVUGD9GG+kuhPgIkIAAvIUQH3bUSSmfGyTbFLfBwsKCyMhIIiMju5RnZGTw3HPPdZmmLViwgP/6r//iN7/5DQ0NDTQ3N+Pi4nLHnZGjoqKYO3cuFRUVWFpa4uDgwI0bN2hpaeGBBx4wtB8YGEhERATJycldnkwqFINFb6eEH3d6vQDYMvCmjEyklHz//fekpKTQ3NyMr68vMTExI3K3ZCllNyHqiHiXUmJvb4+9vX2v2jIxMcHV1dXwvqamBldX124+K1dXV65evXrvxisUvaBXGUellMc6DqDulvejmn379pGRkcGyZcv40Y9+hJ2dHR9++CENDQ3DbVo3goKCOHPmTJeys2fPEhAQgKnpvSWJ9fT0JD8/n5aWrmvds7Oz7ym/vELRF/rjdO+eTW6UUltbS3p6Ohs2bDAEby5evJj6+nqSkpKIiYkZZgu7snjxYrZs2cKWLVsMcVhlZWX8+Mc/vue2HR0dCQkJ4ZNPPmHRokVYW1uTkpJCWVkZjz766L0br1D0gv4EjkYNhiEjkdLSUjw8PLpEmgP4+/uPyJ2SbW1tWb9+PVlZWZSWljJt2jRWrVo1YPme4uLiSE5O5siRI7S2tuLv78+zzz7bJVxCoRhMVODoHXB0dOTmzZtotdouvqHS0tIRu3edmZkZ06dPZ/r06QPethCC2bNnM3v2iHpwpBhDqJ2f74Crqytubm7s3buXpqYmpJRkZWVx7tw59aVVKIaBvmQcTUKXoaFjHWGalPLmINrWI0Mdh9Xc3My+ffu4dOkSJiYmODo6smTJEhUseY9UVFTQ3NyMu7s7ZmZ3H+jX1dVRU1ODi4sL1tbWQ2ChYiTGYfVFsDzQZRoNA2YDDwPlUsrJg2ded4YrcLS1tZW2tjZsbGzUcpR7oLa2lh07dlBVVYWtrS11dXUsWbKEsLCwHs/vSFh4+fJlnJ2dqaioYPbs2V3iwRSDw0gUrF77sKSURUARkAgghAgGnhwku0YcFhYWKh/UPSKlJCEhgalTp7JgwQJMTEwoKSnhk08+Yfz48T3uXnPw4EFaWlp44403sLCwoKGhgc8//5xz584xd+7cYbgLxXDSax+WEKLLSEpKeQkI7OW1HwohyoQQF3uo+6kQQgohxvfWFoVxUlJSQlNTE9HR0YaHGBMmTCAqKork5ORu52s0Gi5cuMCyZcsMPxa2trY89NBDjPXlWWOVvjwl/FwI4Q1cQ+fDqgZ6+yjqY+APwNbOhUKIScBDgNorvAdaW1u5dOkStbW1eHp64uPjY9TToIaGBhwdHbvdg5OTEzdu3Oh2fmtrK1VVVTQ1NWFvb2+4ztHRcUQG7ioGn75MCecJ3f8YPyAUcAYe6eW1x4UQU3qoegf4ObC7t3aMFW7evMm2bduYMGECrq6uJCYm4uDgwOrVq3vlpB6JeHh4UFRURG1tLQ4ODoBumpiRkcHkyV1doVeuXGH37t1cv36d9957Dy8vL5544gnc3Nx6PF8xNrir010IIeRdTurlOVOAPVLK6fr3jwKLpZQbhBB5wGwpZfltrl0PrAfw9vaelZ+ff0ebRwPvv/8+M2bMYNasWYBuW/UvvvgCb2/vbgn2jInvvvuOlJQUoqOjsbOzIzU1lbKyMp577jlDAGpNTQ1/+ctfeOqpp9BqtezYsQNXV1dyc3NZuHAhqampPPPMMz3m81IMHCPR6d4bH9YRIcT/0U8HDQghLIQQi4UQW4Bn+tKpEMIG+CfgX3tzvpRyk5RytpRyducFuaOV2tpaKisrmTFjhqHMxMSE+fPnk5mZOYyW3TsLFixgyZIlXL58me+++w43N7du0fIXLlwgNDSUKVOm4OvrS3x8PM7OzhQXF5Ofn88LL7ygxGqM0pu5xVLgOXQ+LF+gCrBGJ3YHgHellCl97NcP8AFS9X4JL+C8EGKulLKkj22NOqSUt/VVjYattwIDAwkMvP3zmoaGhi75tSZMmMCjjz6KlJJJkyap3FtjmLuOsKSUzVLKP6HzN00GHgBmSCknSynX9UOskFKmSyndpJRTpJRTgBvATCVWOjpSG3ck3APdlPD06dNMmzZtGC0bGqZMmUJmZmYXcW5paSEnJ0fllB/j9MV7uw3YBfxQSqkBEEI8K6X86G4XCiE+BxYB44UQN4C3pJQf9MPeIUdKSVJSUpd8WAsXLjQ4jQeLFStW8Mknn3D58mVcXV3JycnBxsaGqKjRv/Y8KCiIc+fO8dlnnzF79mza2to4efIkISEhXfZnVIw9+hLpngL8Bd0UcZWUsm040iUPdaR7YmIiN27c4IEHHjA4idPT01m/fj22traD2ndLSwsZGRnU1dXh6emJn5+fUYc19IX29naSk5O5fPkyZmZmhIaGMn369DFz/yOBkeh078sIS0opNwohGoGvhRCPo0uZPGqpq6sjNTW1Sz6s2NhYGhsbSU5OZuHChYPav6WlJTNnDlv6/GHFzMysxzTQirFNXwSrCkBKuVUvWnsBm0GxaoRQUlJiVPmwekN7ezsnTpwgLS2NtrY2AgMDuf/++3udOlmhGE56vTRHSvlAp9c7gP8BRrVDoXM+rM6M5HxYd2P79u2UlpayevVqnn/+eaytrfnoo4+6pT5WKEYi/c6HJaXcI6Uc1ev/XF1dcXV1Zd++fTQ3NyOlJDs7m6SkJKPMh1VcXExpaSmrVq3C3d0dJycnHnzwQdzd3Y12xKgYWxjnGo8h5Mknn+Sbb77hnXfewdTUFDs7O5544gnGjzc+rS4pKWHy5MndNqTw9fWltLR0mKxSKHqPEqy7YG1tzRNPPEFLSwutra3Y2dkZ7ZMqZ2dnTp8+3S0wtaioyCgFWDH2UCmSe4mlpWWXjAHGiLe3NxYWFuzfv5/m5mY0Gg1JSUnk5OQQEREx3OYpFHelz1vVDzdqq/p7o7GxkcTERC5dumRY6rJ06VLc3d2H2zTFCMPY47AUQ0xpaSlJSUnU1tbi5eXFrFmzsLG5t0gSGxsbHn/8cdrb25FSYm5uTnV1NefPn8fS0pLAwMAB2xasP0gpuXLlChcvXkRKSVBQEMHBwUY9slUMHGpKOELJzs5m69at2NvbExERQUVFBZs3b6aurm5A2jczM8Pc3JwjR46wadMm8vPzSUlJ4d1336WgoGBA+ugPBw4cYP/+/Xh5eTF58mROnDjBzp07R8Wib8W9o0ZYIxApJfv27WPVqlWGxb7BwcEkJiZy6tQplixZMiD9XL16lfT0dF599VXDyC07O5vt27ezYcOGe97evq/cvHnTYE9HsG5YWBgbN27k+vXrKmmfQo2wRiJVVVVotdpuX9CwsDByc3MHrJ/09HQiIyO7TDMDAwOxt7fn+vWhz1qdm5tLUFBQl5UF5ubmTJ8+nStXrgy5PYqRhxKsEYilpSUtLS20t7d3Ka+vrx/QPfna29t79FdZWFh063sosLKy6jFXe0NDQ7flUYqxiRKsEYitrS0+Pj4cOnTIsCyosbGRw4cPD+hi6KlTp5KcnIxGozGUlZaWGgJMh5qgoCDy8/O5evWqoayoqIiMjAymT+/tfieK0YwKaxihNDY2sn37dioqKhg/fjxFRUXMmTOHxYsXD9gTs4586RUVFYSGhtLQ0EBqaipxcXHDJhB5eXn89a9/xdHRERMTE27evMmKFSsICgoaFnvGMiMxrEEJ1ginrKyM2tpaJk6cOCj5t6SU5ObmcuXKFSwtLQkLCxv2JHkajYb8/HyDH284wyzGMkqwBoCxJlgKxXAxEgVL+bAUCoXRoOKwekFbWxvZ2dk0Nzfj4+ODs7PzcJtEbW0t165dw9LSEn9//wHZXLW8vJwbN25gZ2eHr6+vYTt5hWKkoKaEd6GwsJDPP/+cCRMmYGdnR3Z2NjNnzuSBBx4YtuUix48f5/Tp0/j5+dHQ0EB5eTlr1qzBw8OjX+1JKdmzZw+XL1/G19eXiooKWlpaWLt2rdpSawwzEqeEaoR1B7RaLdu3b2f58uWGp1RNTU188MEHTJ48mYCAgCG36dq1a6SkpPCTn/wEOzs7AC5dukRCQgIbNmzo16goJSWF0tJSXnvtNSwsLAA4ffo0O3fu5LnnnhtQ+xWKe0GN+e9AQUEB1tbWXR6pW1tbExUVRXp6+rDYlJaWRlRUlEGsQLdsx9bWtt/R6WlpaURHRxvECiAyMpKKigqqq6vv2WaFYqBQgnUHNBpNj4/Uzc3NhyUSHHT+tM7bundgaWlJW1tbv9psb2/v1qYQYljvU6HoCSVYd2DSpEmUl5dTXFxsKOtIejd16tRhsSkwMLBbdHpZWdk9RacHBgaSlJTUJSNCbm4uJiYmwx6TpVB0Rjnd70JmZiZ79uwhLCwMOzs7Ll68iKOjI0899dSwPEXTarUkJCRQV1dHWFgY9fX1pKSksGTJEsLCwvrVZktLC1u3bsXCwoLg4GAqKipIT09n1apV+Pj4DPAdKIyFkeh0V4LVC6qqqkhNTaW5uRk/Pz/8/f2HNaGcVqslOzub3NxcLC0tCQ8Px9XV9Z7abG9vJyMjg4KCAkMOrnHjxg2QxQpjRAnWAKAi3RWKoWEkCpbyYSkUCqNBCZZCoTAalGApFAqjQQmWQqEwGpRgKRQKo0EJlkKhMBqUYCkUCqNBCZZCoTAalGApFAqjQQmWQqEwGpRgKRQKo2FIBEsI8aEQokwIcbFT2a+FEGlCiAtCiANCiP7l91UoFGOGoRphfQwsvaXsP6WUYVLKCGAP8K9DZItCoTBShkSwpJTHgcpbymo7vbUFjCtthEKhGHKGdRMKIcRvgXigBrj/DuetB9YDeHt7D41xCoVixDGsTncp5T9LKScBnwKv3uG8TVLK2VLK2feaqE6hUBgvI+Up4afAE8NthEKhGNkMm2AJITpv6vcokDVctigUCuNgSHxYQojPgUXAeCHEDeAtIE4IMRXQAvnAS0Nhi0KhMF6GRLCklGt6KP5gKPpWKBSjh5Hiw1IoFIq7ogRLoVAYDUqwFAqF0aAES6FQGA1KsBQKhdGgBEuhUBgNSrAUCoXRoARLoVAYDUqwFAqF0aAESzEmKSkpYfXq1fj5+TFr1izi4uLIzs4e1D7nzZs3qO0PBFJKXnvtNfz9/QGmCSFm9nSeEOKoEOKyPmPwBSGEm77cUgiRIIS4IoQ4K4SYMpD2KcFSjDmklKxcuZJFixaRm5tLcnIy//Zv/0Zpaemg9Nfe3g7AqVOnBqX9gWTfvn3k5OSQk5MDujW+f77D6WullBH6o0xf9jxQJaX0B94B/mMg7VOCpRhzHDlyBHNzc1566e/r7cPDw4mOjkZKyT/8wz8wffp0QkNDSUhIAGD16tXs3bvXcP6Pf/xjduzYQV5eHtHR0cycOZOZM2caROno0aNER0ezYsUKpk2bBoCdnR0A9fX1PPDAA8ycOZPQ0FB2794NQF5eHsHBwaxbt46QkBAeeughmpqaALhy5QqxsbGEh4czc+ZMcnNzAfjP//xP5syZQ1hYGG+99dY9fza7d+8mPj4eIQRAA+AohJjYhyYeBbboX+8AHhD6xgYEKaVRHbNmzZIKxb3wv//7v/L111/vsW7Hjh0yNjZWtre3y5KSEjlp0iRZVFQkv/rqKxkfHy+llLKlpUV6eXnJxsZG2dDQIJuamqSUUmZnZ8uO/59HjhyRNjY28urVq4a2bW1tpZRStrW1yZqaGimllDdv3pR+fn5Sq9XKa9euSVNTU5mSkiKllHLVqlVy27ZtUkop586dK7/66isppZRNTU2yoaFB7t+/X65bt05qtVqp0Wjkww8/LI8dO9btnp566ikZHh7e7diyZUu3cx9++GF54sQJKaWUQBJwCJgtb/keAkeBdOAC8CtA6MsvAl6dzssFxt96fX+PYU2RrFCMNL777jvWrFmDqakp7u7uxMTEcO7cOZYtW8aGDRtoaWkhMTGRhQsXYm1tTU1NDa+++ioXLlzA1NS0ix9s7ty5+Pj4dOtDSsk//dM/cfz4cUxMTCgsLDRMR318fIiIiABg1qxZ5OXlUVdXR2FhIStXrgTAysoKgAMHDnDgwAFmzJgB6EZuOTk5LFy4sEt/HaPEAWatlLJQCGEP/BX4EbB1MDrqjBIsxZgjJCSEHTt29OkaKysrFi1axP79+0lISGD16tUAvPPOO7i7u5OamopWqzWICYCtrW2PbX366afcvHmT5ORkzM3NmTJlCs3NzQBYWloazjM1NTVMCXtCSskvf/lLXnzxxTva/oMf/IDLly93K3/zzTeJj4/vUubp6UlBQUHnIi+gsIe+C/X/1gkhPgPmohOsQmAScEMIYQaMAyruaGAfUD4sxZhj8eLFtLS0sGnTJkNZWloaJ06cIDo6moSEBDQaDTdv3uT48ePMnTsX0H3xP/roI06cOMHSpbpd62pqapg4cSImJiZs27YNjUZz1/5rampwc3PD3NycI0eOkJ+ff8fz7e3t8fLyYteuXQC0tLTQ2NjIkiVL+PDDD6mvrwegsLCQsrKybtcnJCRw4cKFbsetYgWwYsUKtm7d2jGdswVqpJTFnc8RQpgJIcbrX5sDy9FNBQG+Bp7Rv34SOKyfXg4ISrAUYw4hBDt37uTgwYP4+fkREhLCL3/5SyZMmMDKlSsJCwsjPDycxYsX87vf/Y4JEyYA8NBDD3Hs2DFiY2OxsLAA4JVXXmHLli2Eh4eTlZV121FVZ9auXUtSUhKhoaFs3bqVoKCgu16zbds23nvvPcLCwpg3bx4lJSU89NBDPP3009x3332Ehoby5JNPUldXd0+fTVxcHL6+vh1hDZOBVzrqhBAX9C8tgf1CiDR0PqxCYLO+7gPARQhxBXgT+Md7MugWxACK35Awe/ZsmZSUNNxmKBSjHiFEspRy9nDb0Rk1wlIoFEaDEiyFQmE0KMFSKBRGgxIshUJhNCjBUigURoMSLMWY5Le//S0hISGEhYURERHB2bNnB6TdgczIYAzZHYSO9/TZGdLukN0hUQiRKoTIEJDMRI4AAAoiSURBVEJsFEKY6sudhRDfCiFy9P863ak/JViKMcfp06fZs2cP58+fJy0tjYMHDzJp0qQBaXsgMjIYU3YHYBkQoD/Wc/vsDk9JKcOB6YArsEpf/o/AISllALp1i3eM21KCpRhzFBcXM378eMMymPHjx+Ph4QFAcnIyMTExzJo1iyVLllBcrAvyXrRoEW+88QazZ88mODiYc+fO8fjjjxMQEMC//Mu/GNruyMgwVrI7oMvOsFW/dvoMt8nuIKWs1b80AywA2en6juwOW4DH7tjbQK2iHqpDZWtQ3Ct1dXUyPDxcBgQEyJdfflkePXpUSilla2urvO+++2RZWZmUUsovvvhCPvvss1JKKWNiYuTPf/5zKaWU7777rpw4caIsKiqSzc3N0tPTU5aXl0sp/56RYTRkdwAa0UWydxzxsnvWhj3Agk7ve8zuoK/bD/+vvfuPreou4zj+/ly4gIqMDkaYZClj/IjctZCtOpbI7KoU2AQCZKAxbG4komaQGaNRl6CJMSFO3V+LipEAgZEJLGXRGUeUuEUYBAhbKbTDRMqPDejmym/or8c/zrndpdzb3pX1nnva55WQ9J5z2vvpCTx8z/ee73P4EHgRGBRua87Yr8zX2f744mc34AwfPpwDBw7wxhtvsGvXLpYuXcqaNWuoqKjg8OHDzJo1C4D29nbuvPOjwcL8+fMBKCsrI5VKde6bMGECJ0+eZNSoUZ3H9ofuDpKO2Cd4p7uZzZY0DNgMVAE7u+w3Sd0uvfGC5QakQYMGUVlZSWVlJWVlZWzYsIH777+fVCrFnj17sn5P+hIykUjc0FUhkUh0zjul9ZPuDlMz1g8C/NbMuraQSXdnSMva3SEjwzVJOwguBXcCZyXdaWbvhZeSN6/eztAv57AuXLjA6dOnaWlpybrfzDhz5gznzp1LD0XdANLQ0JBuAQzAoUOHKC0tZcqUKTQ1NXUWrNbWVurq6nr9PnHv7gAcsY9aIE/PUqwg6M7wePhp4Qyyd3cYnp7XClvOPArUZ3x/urvDE8CO7n63fjXCun79OjU1NTQ2NnLbbbfR3NzMzJkzb/h4uLGxkZqaGhKJBB0dHSSTSRYtWtS5It/1f5cuXWLlypU0NzczePBgJk6cyNq1axkyZAjbtm1j1apVnD9/nra2Np555hlSqVSv3qe6upply5axYMGCG7o7LF68mI0bNzJnzpy8uzvMmzePsrIyKioq8u7usGLFClavXk0ymWTr1q1UV1dz9OhRHnzwQSC4NN60aRNjxozp1e8XehV4BPgPwZzXk+kdkg6Z2XSCNjWvSBpKMEjaBfw+PGwN8GdJywl6yC/p7s36VbeG7du3k0wmmTt3LslkkubmZjZt2kRVVRVTp07l8uXLvPDCCyxcuDDdPoPa2lp27tzJqlWrSCaThfxVnCtq3q2hD125coVjx44xe/bszsIzcuRIqqqqSBe42tpaJk+ezKRJk5CEJMrLyxk7diz19fXd/XjnXBHoNwXr6tWrDBs27IZJSICSkhIuX74MBJcCJSU330ibeYxzrnj1m4JVUlJCR0cH77777g3b6+rqKC0tBaC0tJSjR4/S0dHRub+1tZWGhobOY5xzxavfTLonEglmzZrFli1beOihhxg9ejQNDQ0cOXKE5cuXAzBx4kT27t3L5s2beeCBB2hvb2f37t2MHz/+hvttnHPFqV9NugOcOHGCffv2cfHiRcaNG8eMGTMYMWJE5/62tjYOHjxIfX09iUSCVCrFtGnTSCT6zWDTuU9EMU66F6RgSVpH8GSNc2Z2b7jtOWAe0ELwsMUnzay5p5/lPd2dK4xiLFiFGlasB+Z02bYTuNfMyoF3gJ8UKItzLqYKUrDM7HXgf122vWZm6fUMbxLc0u+cczkVy8TNU8Dfcu2U9G1J+yXtb2pqKmAs51wxibxgSXoWaCNYwZ2Vma01swozq7jjjjsKF845V1Qiva1B0rcIJuO/YnH7uNI5V3CRFSxJc4AfAV82sytR5XDOxUehbmvYAlQCo4GzwM8IPhUcCnwQHvammX0nj5/VRLCquy+NBt7v4/foK3HN7rkLr6fspWZWVHMwsbtxtBAk7S+2+0/yFdfsnrvw4pg98kl355zLlxcs51xseMHKbm3UAW5BXLN77sKLXXafw3LOxYaPsJxzseEFyzkXGwO+YElaJ+mcpMMZ234h6W1JhyS9JulzUWbMJlvujH0/kGSSRkeRrSc5zvnPJZ0Oz/khSY9EmTGbXOdc0kpJ9ZLqJP0qqnzdyXHOX8o438e7PIOwKA34gkX21jfPmVl5+IiivwCrC56qZ+u5OTeS7gKqgROFDvQxrCdLduD5jGfgvVrgTPlYT5fckh4meCjoNDNLAb+OIFc+1tMlu5ktTZ9vYDvwchTBPo4BX7BytL65kPHyM0DRfTKRLXfoeYIlT0WXOa2b7EUtR+7vAmvM7Hp4TLdPLo5Kd+dckgieB7iloKF6YcAXrFwk/VLSSeCbFOcI6yaSFgCnzeytqLP00tPhpfg6STc/3qg4TQZmStor6V+SvhB1oF6YCZw1s2M9HhkxL1g5mNmzZnYXQdubp6PO0xNJnwZ+SkyKaxa/A+4BpgPvAb+JNk7eBgO3AzOAHxI8xVjRRvrYvkEMRlfgBSsfm4HFUYfIwz3A3cBbko4TdHA9KGlspKnyZGZnzazdzDqAPwJfjDpTnk4BL1tgH9BBsKg4FiQNBhYBL0WdJR9esLKQNCnj5QKg6B8LbWa1ZjbGzMab2XiCf0j3mdmZiKPlRVLmc9YWAjd9+lmkaoCHASRNBoYQr+4NXwXqzexU1EHy0W+eS9hbma1vJJ0iaH3ziKQpBP9bNgI9tr0ptGy5zexP0abKT45zXilpOsGHBceBFZEFzCFH7nXAuvB2gRbgiWJsRtnN35evE5PLQfClOc65GPFLQudcbHjBcs7Fhhcs51xseMFyzsWGFyznXGx4wXLOxYYXLOdcbHjBcn1C0qfCxcCDujlmiKTXw+UhzvXIC5brK08RrLFrz3WAmbUA/wCWFiyVizUvWO6WSfpnRufKa5KWELTl2ZFxzB5Jd4dfj5N0INxVEx7rXI+8YLlbZmZVYdfKPwCvEBSqCWZ2HEBSAiglWCMIUA68HX59GIhjDykXAS9Y7hMh6XFgLsFoaRTQnLH7HuC/GYuCy4FagPCSsUXSZwsY18WUFyx3yyQ9RlColphZK3AVGJZxSBlhgQpVdHk9FLjW1zld/HnBcrdE0teA7wGLzOwagJl9CAySlC5atxOOuCR9HniU8JJQ0ijg/bDQOdctL1juVm0g6G7673DSfXm4/TXgS+HXfwfmSNoMPAZ8YGZnw30PA38tZGAXX94Py/UJSfcB3zezZT0c9zLwYzN7pzDJXJz5CMv1CTM7COzq6cZRoMaLlcuXj7Ccc7HhIyznXGx4wXLOxYYXLOdcbHjBcs7Fhhcs51xseMFyzsXG/wF/ofxdIC22fgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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sbG1tzf08fPgw9vb2NDU1MX/+fKvPIhTlbYXrDoPBQGVlJQBeXl7XrTpOUVER+/fv57nnnrNIz8rKIjk5mcWLFw9YW6SUVFVVodPpGDNmzE2njtPBtfazN8rbipmfwoCi0+lISkoiKysLIQQRERFMmDDB4sttY2ODt/dllQx6hFarJTExkZycHOzs7IiKiiI2NtZq1iO1tbWcOXOGXbt2YWtry8yZMxk3bhxSSpKTk2loaOCLL75ApVIRExNjnvL1F0IIvLy8+u3+1wsD0U9lpKjQr+j1emxsbBBCIKXk66+/BuC2227DYDBw/PhxnJ2deeyxx3otNKSU6PV6bG1tLcrq9XpWr16Nq6sr8fHxaLVajh49yqhRo5g3b16v+2AwGKioqMDW1pbRo0dTXV3NV199RUJCAs3Nzezfvx+9Xs+cOXOor6/n+++/54EHHuC2225Do9Fw5MgRxo0bx5w5c3pd9+X6XVZWRklJCS4uLoSFhdHU1GR+AYSFhd1UmyzWQBkpKgw6FRUV7Nmzh5KSEvNoydfXl+bmZpYuXWqeEvv7+/Ppp59SVlZm4ZfwamRkZPDTTz9RW1vLkCFDmDJlClOmTEEIQUZGBjY2NhaC1t/fn48++ogpU6bg4eHR43ry8vLYvn07Tk5O6HQ6hBDY29szbdo0pkyZAkBUVBS7du1iw4YNzJgxg5kzZ7Jw4UKLuj/88ENuu+22Pq9/GQwGNm3aRFVVFcHBwZSUlLB8+XI8PDyYNGkS7e3tHDhwgHnz5hEeHt6num5VFKGoYHXq6+v5+uuvmTVrFr/+9a9pbW1lz549rF+/npkzZ1qsEdrZ2Zl/3D0Virm5uezevZuHH34YX19fLly4wLZt2zAYDEybNo2SkhLCwsIsRo/29vYEBARQUlLSY6HY2NjIli1b+NWvfoWvry9SStLT0/nP//xPHn74YXO+8ePH8+KLL9LQ0ICLiwt+fn4WdTs4OODn50dpaWmfhWJycjKtra28/PLL2NnZUV5eTnJyMu7u7sydOxchBFVVVaxevRp/f38LvT6FnnF9rmAr3NCcOnWKmJgYYmNjsbW1xdXVlYceeoiGhoZuFW3r6upwdXW1SFOr1ezYsYN33nmHP//5z2zatMmsp3bs2DFmz55tFj6jRo3i0Ucf5cSJExgMBlxcXKiru9SqtPt6rkRKSgrh4eHmXWQhBJGRkXh4eJCcnGyRt7m5GTBarlxat5SSuro6q0xpMzIyuP32280K7unp6cydOxcpJbW1tQCMHj0aX1/fm8qiZSBRhKKC1amtrWXs2LEWaba2tsTGxpKRkUFGRgZSSqSUnDt3jsrKSsLCwsx5pZSsXbsWGxsbXnvtNd588008PDxYvXo1Wq2W2traLhsxI0aMwGAwoNFoiI2NJS0tjby8PKSUGAwGTp48SUtLCwEBAT3uR2tra7cmeNHR0fz0009mIa3RaNi5cycxMTFMnDiRs2fPUlhYCBinuydOnECn03WrotNbDAaDxUhbSmmxZtuBjY3NDW8vPlgo02cFq+Pp6UlRUZHFmlZ7ezs1NTU89dRTHDhwgD179mAwGHBycuLJJ59EpVKZ8xYUFGAwGLj//vvN09AZM2ZQUVFBenq6+f4xMTHmMlVVVahUKhwdHc0bN9u3b0cIQXt7O0OHDmXx4sW9Uu/x9fXlp59+YurUqeZyWq2W9vZ2pk6dymeffYabmxuNjY2Eh4cza9Ys7OzseOSRR9i2bRs2NjZotVrc3d154oknrKJaFBYWxs8//4y/vz82NjaEhYXx2WefMXLkSPOyQE1NDQUFBTzwwAN9ru9WRNl9VrA6TU1NLF++nClTphAbG0tzczN79+7FxcWFhx56CCklNTU12NjY4O7u3mXX+eTJk9TW1nL//fdbpB89epTW1laCg4PZtGkTc+bMISAggMrKSnbu3MnkyZNJSPjFr4iUkurqauzs7HB3d+91PwwGA+vXr0en05k3MU6cOIG3tzcPPPAAbW1tXLx4ETc3ty6mZgaDgZqaGlQqlVWVi3U6HRs2bKCpqYnQ0FBqa2v58ccf8fLy4o477kCr1ZKWlsbs2bMtXhq3Or3ZfVaEokK/UFNTw08//UR+fj6Ojo7ExcUxbdq0Hinb5ufns3fvXpYtW2YhMNetW0dYWBhxcXEUFhZy8OBBqqqqGDZsGLfffnu/CAG9Xs+ZM2fIzs7GxsaGqKgoIiIiBtVbtpSSgoICiouLcXV1JTIykvr6erKzs1GpVERERNxU1izWQBGKKELxRkZKycqVK/Hy8mL69OnY2tpy8uRJUlJSePnlly2m2goKPUERiihC8UZHrVazb98+0tLSMBgMhIaGMmvWLAsP1Wq1mpMnT5pHo7GxsYSHhysxTxS6oAhFFKF4s9PW1sYXX3zBmDFjzOuWhw8fJiwsjLvuumuwm6dwnaFYtCjc9Jw5cwYPDw8eeughc5qfnx8ff/wxCQkJipmbwjWj6Ckq3JB0WK10ZsiQIYwdO5aKiopBapXCzYAiFBVuSFxcXLh48aJFmjUtRxRuXQYt7rMQ4m0hRLkQ4qzpuP8yZYuEEKmmPMoioQIAEydO5OTJk+aAVnq9nkOHDuHk5HRLuNBS6D8GLe6ziQ+klH/rQfm7pJSXhipQuIUZNWoUc+fOZePGjdjb26NWq/H09OTxxx9Xdp8V+sSACEUp5WEhhO9A1KVw6xAeHk5ISAjV1dU4OjoqCssKVmGw1xRfFUKkmKbXl7OFksAeIUSyEOLmicSjYBU6HL8qAlHBWgymUPwMCABigUrg75fJN01KOQGYA7wihLjzcjcUQiwVQpwSQpyqrq6+XDYFBQWFyzJoQlFKeV5KqZdSGoAVwKTL5Cs3/b0AfHe5fKY8n0sp46WU8SNHjuyPZisoKNzkDJpQFEJ03iJ8GEjrJs8QIYRrx//Avd3lU1BQ6B61Wk1GRga5ubnodLrBbs4NwWDGfZ4hhIjFuGZYBCwz5TXHfQZGAd+ZdhPtgHVSyt0D0WaF/qOhoYGKigrc3NwYM2YM58+f59SpUzQ2NjJ27Fji4+O7uOK6npFSUlJSglqtZty4cTg4OHDu3Dlyc3PN8WkCAwP7rX6dTmdRX2xsLAEBASQnJ7Nr1y6cnJzMAcQWLlzYq1g4tyKK7bPCgCGl5Mcff+TcuXP4+PhQU1NDfX09QghmzJiBh4cH2dnZFBUV8dxzz90QSti1tbVs2LABGxsb3NzcKC4uNvt8nDBhAhqNhhMnThAVFcWMGTOsVq9Op6OmpgZHR0ezQ9sJEyagVqs5fvw448aN4/Dhw7i5uREYGEhbWxsFBQXY2try1ltvmcMZ3Coots8K1yVnzpyhtLSU119/HUdHR/R6Pa+99hohISFMmzYNgNDQUH744QeOHTvGfffdN8gtvjJSSr799lsSEhJISEhACMHJkyf58MMPeeqppwgODgaM3rI/+eQTJkyYYOHl51pJTk5m//79uLi4kJOTQ1tbG//4xz9wcnICjM9w6dKlODg48Ic//MHskTsrK4u3336brKwsIiMj+9yOm5XBVslRuIU4e/YsM2bMMEeYq6+vJyAggPr6evbt28fu3btJS0sjIiLCHOPkWpFSUlRUxJ49ezhw4AAXLlywRhcsqKqqQqvVmgUiwPnz55k9ezYpKSnmfEOGDMHPz4/i4uI+15mfn8+RI0d45plnePnll7njjjsIDg5m+/bt5jwuLi7odDq8vLwsIheGhobi7u5OQUFBn9txM6MIRYUBo62tzWKt0NHRkerqahITE7lw4QJubm4kJSXx1Vdf9Wl6J6Vk586d7NixA1tbW1pbW/nqq6+w9nJKR386W9B0rN+1tbVZ5G1qajKP5PpCUlIS06dPp0O7wsXFhcjISIqKimhqajLns7e3p7q6Gr1eb05rbGykoaEBT0/PPrfjZkYRigoDRkBAAGfOnDGfOzs7k5eXh4uLC48//ji33347jz32GCUlJX0K8lRUVER2djaenp6cPHmS1NRU7Ozs2LRpkzkUqTXw9vamrq7OYhQaExPD3r17zXFZOiIWNjU14efn1+c6m5ubLeLNxMbGcvbsWaSUtLS0IKXk7Nmz5s2Uzz//nMTERI4cOcInn3yCm5sbERERfW7HzYyypqgwYEydOpUvv/ySb7/9lpCQEAoKCmhpaeHuu+/mww8/ZMSIEVRWVjJz5kzq6+uvuZ6srCxqa2sJCwvjd7/7Hfb29mRmZvLuu+9y5swZ7rjjDqv0R6VScd9997FmzRomTZqEm5sbqamphIaGmkO3ajQapJQsWrSoR/FproaPjw+ZmZmMHz8eMNqAT548mXfffRd3d3fa29uRUvL6669z4MAB8vPzOXr0KAaDAa1Wy+LFi3sV+/pWRBGKCgPGkCFDeOGFFzhz5gw5OTnY2toyadIkfve731FXV0djYyNeXl5UVlZy8ODBa66noaGBxsZG5syZY57aRkRE4O3tTXZ2do+FYkNDAxcvXsTDw+OyO+ExMTF4enpy5swZqquriYiIYNGiRUgpKSsrQ6VS4e3tbTUnFVOmTGHlypWA0fa7rq6O06dP86c//YlRo0Zhb2/PmDFjEEKwcOFCMjIyyMnJQaVSER0dbRamCpdHEYoKA4qDgwO33Xab+by+vp6kpCRuu+02Ro4ciU6n4+jRo0RFRV1zHV5eXtTX19PU1GTe7S0tLUWtVvdIzae9vZ3t27eTn5/PyJEjOX/+PNHR0cyePbvbab2Xl1e37sqsMV2+FFdXV55//nlOnDjBnj17cHFx4YEHHuhWD9LGxobIyEhlp7mXKEJRYVCZP38+a9euJSMjAw8PD/Lz8/Hx8SE+vkcqZd0SFRXF0KFD+fjjjwkLC0Or1VJcXExQUBA+Pj5XLb9//370ej1vvPEGKpUKjUbDhg0b+Pnnn7n99tuvuV3WwtXVlXvvvXewm3HTogjFAaK0tJSMjAzAOO3pzqrg/PnzpKam0t7eTnBwMP7+/je9b0B3d3deeeUV8vLyaGpqYtKkSYwePfqa7mUwGMjNzSU/P5/Ro0fj6OiIo6Mj7u7uODk5UVBQQFxc3FXvcfbsWV5++WXs7OzQarU4ODhw7733snnz5kETilJK2tvbUalUN/13YrBRhOIAcODAAVJSUsw/yM2bNxMdHc3dd99tznPq1CkOHjxIXFwcbm5u7N69mzFjxvDQQw/dkD+CCxcusH//fnP40bi4OKZPn96tqo2trS0hISE9uu/FixfZt2+fxTrZ3Xffja2tLRs3bqSxsZGoqCgSEhLYunUrp0+fpqGhgeHDhzNhwgQqKioICAi47P31ej1arZbU1FR+/vlnNBoNLi4uJCQk0Nraes3P41qRUnL06FF+/vlntFotbm5u3HXXXcqUuB9RhGI/c+HCBU6fPs3LL79s1tFLSEjgs88+IzIyEk9PT1paWti3bx/Lli0zq3JMmjSJFStWkJeXR1BQ0GB2odc0NjayevVqAgICmDlzJkOHDuXcuXNs27aNRx999Jrvq9FoWL16NRMnTmTu3Lm0tbXx/fff8/777xMeHk5zczPPP/+8eZe3urqaXbt2sXr1akaMGEFKSgrLly9nwYIFFgrXnVGpVKjVavbs2cMrr7yCp6cnZWVl/O1vfxsUm+EjR46Qk5PDM888w4gRIygpKWHLli1otVqcnZ1xcXGx6kaOgiIU+52cnBwiIyMtlJadnZ2JiIggJycHT09PCgoK8PPzMwtEMP444+LiyMnJueGE4sGDBykuLmbYsGHY2tpy4sQJvL29ycvLo66uzkLP7ko0NjaSnZ0NGK0x0tPT8fHx4c47jS41ExMTKSsro6CggLy8PEaMGEFaWhpqtRoppVl15dixY7i6upKYmIizszMrV64kMTGRhQsXWlh8gHFkZmtri8FgIDMzk4aGBoqKisxWOAOJXq/n559/5vnnnzc/Mx8fH4YOHco777zDww8/TF1dHSqVikWLFlnFhFBBEYr9Tse61KVotVrzVLIneW4k9uzZw6RJk1iyZAlgdF6wbt06Wltbqamp6ZFQPHXqFPv37yckJAQpJQcOHMDR0ZGpU6cCUFBQQEpKCr/5zW/Ys2cPBQUF1NbW8qc//Ynnn3+egwcPsmPHDsaMGUNRUREVFRW6dY51AAAgAElEQVT89a9/ZcyYMezevZu4uDg2btzISy+9ZDHK0ul0ODo6smzZMpKSkjh+/DhqtZqAgACOHDlCYWGheVdZSkl+fj5paWno9XqGDh1Ka2srbW1t+Pv7ExMT06fPT6PRAFg8r4yMDOrr65k4cSJPPPEEUkqOHDnCli1bePrpp6+5LoVfUCxa+pnw8HAyMzMtrB4uXLhAZmYm4eHhAAQGBlJVVUVRUZE5T2NjI6dOneqTaspg0NrailqtprOTXzs7O26//XbS0tK6HZn9/PPPfPjhh/z5z39m9erVnDt3jgMHDrB06VIeeughHn74YZ5//nmys7PJysoCICUlhcmTJ+Ps7ExpaSmjR48mLy+PGTNmMHLkSDQaDW5ubmi1WiZMmMDEiRP5+9//Tnp6OqNHj2bixIkYDIYuMaLt7Oxwc3NDrVYze/ZsdDodqampHDhwgLKyMt555x327dsHGHepf/jhB8aMGYNGo2H58uWkpKQQHBxMRkYGa9asob29/ZqfpZOTE3Z2dlRVVZnTzpw5g4+Pj3kqL4Rg6tSpVFdX90nhXeEXbrxhyA2Gm5sbc+fOZdWqVeYRRmFhIXPnzjVPd1QqFQsWLGDjxo2MGTMGR0dH8vLymD59OmPGjBnM5vcavV7P+PHjSUtLw9PTk5iYGPOa6bBhw7qMEg8ePEheXh6PPfaY2XXYZ599xpQpUyyWE0aMGMGMGTM4duwY/v7+qNVqdDod27dvZ+jQodjb23P33Xezf/9+s/CMjo6moaEBtVrNokWLePfdd/n666/54IMPEELg7OzcxUa5w43Zli1b8Pf354cffuC+++6jurqa3//+92RlZfHZZ58RGBjImTNnePXVV7GxseGnn37ik08+YdOmTbi6uvLkk0+ybt06zp07d83qRTY2Ntx55518++233H///WbB39bWxksvvWTOZ2tri5OTU5e+KFwbilAcACIjIwkICCA3NxeABx98sItzAD8/P37729+Sm5tLe3s799133w1pjuXi4sKoUaMICQkhKyuLXbt2YW9vT1tbGwsWLLDIq9VqSUxM5MUXX2To0KGAUccwJibGPCLsjLOzM3PmzKGkpISjR49SVVXFkiVLWLhwITt27DCPuNva2ggLC+Ojjz7i7bffpqKigg8++AAHBwcCAgLw8PCgpqaG6upqxo4d26We6Oho7Ozs+K//+i8aGxtRqVQsXLgQf39/oqOj2bNnD1u3biU4OBgnJyfy8/Px9PRk1KhRREVFkZeXZ54+p6en90nnMj4+HgcHB/bv3099fT1tbW34+vpabPqUlpai1WpRQnBYh4HyvL0KeAC4IKWMNKW9DbwAdESY+k8p5a5uys4GPgRsMXrkfncg2mxtnJyciI6OvmIee3v7G95YXwjB3LlzWb9+PaGhodx7773k5ubS3NzcxclqY2MjTk5OZoHYwdSpU/nxxx9pbm42W6A0NjaSkZFh3nR47LHH2LhxI5WVlSQnJ1NXV8f69ev54x//SEtLC5988ol5s+ePf/wjK1as4LvvviM+Pp4jR46QmJjIvffei729fbf9CA8PJyYmhiFDhlis1QkhcHV1Ra/X09LSAhitdDqcMbS0tDBkyBAAWlpacHBw6PMzjYqKMi+jaDQavvzyS7755huzmV9SUhLz5s3rkxMNhV8YqKe4GpjdTfoHUspY09GdQLQF/okxkl84sEgIEd6vLVXoM2PHjuWll15i+PDh1NbWEhUVxfPPP99ldOzm5kZra6uFyyswxhWJiYnhX//6F3v37mXPnj18/vnnTJs2zTz9trW15fHHH2fGjBnU19fj7+/PAw88wLFjx9BoNDQ0NPDss8/i6enJwYMHqampwdvbGxcXFxobG1m0aNFVFbnj4+NJTEykc2TI9PR0ysrKmD17NuXl5eTl5eHt7Y2NjQ0//vgjKSkpREVF0dDQwIkTJ4iNjbXSUzXi6OjIc889h7+/Pzk5OWg0GpYsWUJoaKhV67mVGbBwBEIIX+D7S0aKzVLKv12hzBTgbSnlfabz/wMgpXznavUp4Qgs6QhgpNFo8PPzu27WKvfv309xcTEPPPCAeU3x+++/N3uVOXLkCEII7rzzTkaNGnXFe0kpyc3NJSkpCb1eT0ZGBtXV1QwZMoRhw4bx4IMP9moqq9Vq+cMf/kBTUxPx8fGo1WpSU1MJCgriP/7jPygtLeXbb7/Fzc0NjUbDvn37iI6OJjg4mPLycmbMmGFh532t6HQ6srKyqK+vZ/To0QQEBCh6ib2kN+EIBlsoPg00AqeAN6WUFy8pswCYLaV83nT+a2CylPLVy9SxFFgK4OPjM9Eano5vBoqLi/nmm2/w8/PD1dWVzMxMAgICmDdv3qD/uKSUHDt2jJMnT9Lc3Iy3tzd33303Qgi+++47nJ2dkVKi0Wh49NFHr2i7fPr0afbu3Wu2oe7sdn/YsGE88cQTvTYhrK+vZ+fOnSQlJWFnZ8fUqVOZPXu2edSr1+spLi7GYDDg4+NDVVUVGo2GcePGWcWp7MWLF1mzZg3u7u6MHj2a/Px8HBwcWLx48WWn/gpduVGE4iigBmM0v/8GvKSUz15SpldCsTPKSNGIwWDgf/7nf5g/f77ZvE2r1fLll18ybdq0AV/DbG5uJikpibKyMtzc3EhISDCPWqWUCCFoaWnhn//8JwsWLMDf3x+A3Nxctm7dymuvvdatInVZWRnffPMNS5YswcbGhhUrVhAWFkZFRQVLly4lPT2dvXv38pvf/OaadAc7fifdvUQKCws5ffo0arUaX19f4uPjrabsvXbtWvz8/Mz6mVJKNm/ezPDhw5k5c+YVy+p0OrObtg6TyJCQkEF/EQ4GvRGKg7YyK6U8L6XUSykNwAq6D3JfDnS2rRprSlPoIaWlpQwZMsTC3tfe3p7JkyeTnp4+oG1pbGxkxYoVtLS0mF2FrVu3jszMTOAXgZOWlkZQUJBZIAIEBQUxfvx4s1ONSzl9+jRTpkzBw8ODc+fOERsby7x589DpdFRWVhIVFYW7uzt5eXnX1HYhRLfCJDExka1bt+Lj40NCQgJVVVV8+eWXZsXrvtDW1kZJSQmenp6sW7eOTz/9lK1bt5qte66EXq9n7dq1ZGdnM2HCBIKDg9m/fz/79+/vc7tudgZNJUcI4SWlrDSdPkz3Qe6TgCAhhB9GYbgQeGKAmnjT0N2PeTBGC8eOHSMiIsLs9iooKIixY8eyZcsWQkJCzLunarW6W5O1DqXq7uhcRq1WM3z4cPNOcUeZK5W/Ftra2vjpp5944YUXzBtAwcHBbNq0ieTkZPPo7lqRUnL+/Hm2bt3KrFmz8PLyIi8vj2+++eaqu9qZmZkYDAYWL15s/qxDQkL46KOPiI+PZ9iwYX1q283MgIwUhRDrgRNAiBCiTAjxHPC+ECJVCJEC3AW8Yco7RgixC0BKqQNeBX4EMoGNUsqBHd7c4IwdO5ampiYLa5n29nYSExMJCwsb0LYUFRV1sdDx8fFBSmlhjeHn50dGRgY6nc6c1t7eTlZW1mUdt/r5+ZGamoqUEj8/P9LS0rh48SKVlZV4e3ujVqvJy8vD19fXav2prKzEw8PDQiFdCEFUVJTF875WHBwcqKmpISgoiNjYWEaNGsXtt9+Oi4vLVUeihYWFREZGdgmqFRAQYJWogjczAzJSlFIu6ib5i8vkrQDu73S+C+iirqPQM2xtbXn44YfZuHEjQUFBuLm5kZ6eztixYwd8PdHJyYmGhgYLL9VarZa2tjaLNTgfHx+8vLxYvXo1kydPNpsCXmnXvCOA0zfffENUVBQVFRW88sorzJ07l6ysLI4fP05cXJyFlUxfcXZ2pqmpybwW2kFjY6OFA5BrpbW1lYCAAAoKCli/fr15o6UnGzjOzs40NDR0SW9oaLBK225mFG3PWwB/f39eeeUVxowZg62trdmeeKCVfSdOnMiBAwfMeol6vZ69e/cSEBBg8UMVQvDII48wadIk0tPTyczMZMqUKTz44IOXvbe9vT1PP/00vr6+nD17lvDwcBYuXIiNjQ15eXnMnDmTe+65x6r9GTlyJC4uLhw5cgSDwQBAbW0tx44dY8KECX2+v4ODA87Ozjz11FOEhYUhhGDatGncd999jBgx4oplY2NjOXPmDOXlxiV4KSVnzpyhqanJYq1WoSsDtvs80Ci7z9cfUkoOHz7MiRMn8PT0pK6uDi8vLx555BGrqK8MBo2NjXz77bc0Njbi6upKbW0tM2fO7JNpX2f27NlDdXU1Dz30EEOGDKG2tpb169czffr0qzoLyczMZOfOnWY9Sjs7OxYsWHBLxn2+LlVyBhpFKF6/qNVqzp8/j5ubW499K17vXLhwAbVajZeXl1X1B/V6PXv27OHcuXM4OTmh1Wq54447eqwUrtPpqKioQKVSMXr06FtSHQcUoQgoQtFatLS0kJOTg5SS4ODgHkXDU7A+bW1tNDc3M3To0G71LNVqNdnZ2ej1evPa8c2IRqMhOzsbnU5HYGBgF7v5y9Eboah4yVG4LCkpKezatYvAwECEEOzZs4fZs2db3Z5X4eo4ODhcVg0nOzubrVu34ufnh0qlYt++fUyfPt0qJobXE7m5uWzZsgVfX1/s7e3Zt28fd9xxh9WDiSlCUaFbGhsb+eGHH3juuefMLqlqamr44osv8PPz6/EbWqF/0Wg0bN26lSeffBJvb2/AuMO8YsUK/Pz8rmovfqPQ1tbGli1bWLx4sdndW4cxgJ+fX7dxt68VZfdZoVsyMjIICwuz8NHn4eFBRETEgFvCKFyenJwcfH19zQIRYOjQocTFxZGW1p09xI1Jbm4uPj4+Fv4v3dzcmDBhgtX7qQhFhW7R6/Xdrl3Z2dmh1+sHoUUK3XG5z0mlUt1Un9NA9lMRigrdEhISQnp6Os3Nzea0lpYW0tLSFN991xGBgYHk5uZaWAS1tbVx5syZHsfSvhEIDAwkPz+furo6c1pHP639fVTWFBW6xcPDg8mTJ7N8+XJiY2MRQnD27Fni4+MVt/fXEa6ursycOZMVK1YQGxuLSqXi3LlzBAcHX9HN2o3GkCFDmDVrFl988QUxMTHY29tz7tw5AgMDGT9+vFXruuVVcgwGA9XV1ahUqn7VmZNSUlNTAxgFzo2iL1ZZWWn2TBMWFnbdOKe9XpBSkpOTY15nDQ8PHxT3XNXV1aSlpaHT6QgJCWHcuHE3zHesN1xrPxU9RXomFHNzc/n+++/NcZeHDRvGI488YlX7WICKigq2bt1qju2sUql4+OGHFQFjZaSUFBYWUlBQgKOjI1FRUf2+S75z505KSkqYNMno+S4pKYkxY8ZcFw58FX5B0VPsAXV1dXz33Xf86le/wtfXF4PBwMmTJ/n66695+eWXrWYXrNFoWLduHbNnzzY7YMjIyGDdunW8+uqrVnNGeqtjMBjYvHkzFy5cIDIykoaGBpYvX878+fP7bW2toqKC7OxsXnnlFbMOYVRUFJ9++ikVFRUWO8IKNw637EbLmTNniIuLM7uSsrGx4bbbbkOlUlnVtVJGRgY+Pj5mN05CCCIiIvDx8bmsw1SF3pOenk59fT3Lli1j+vTpzJ07l8WLF7N9+3YLF2TWpKCggPDwcAul6o6IjPn5+f1Sp0L/c8sKxebm5i7TZCEE7u7uFjuu/VEPYPV6bnWysrJISEiwUNvw9vbG3d2dkpKSfqmzI7TppVgrtKnC4HDLCkUfHx8yMzPpvKaq0WgoLCzsNkB6X+rpsEntQK/Xk5WVdVPtDg42tra23eqr6fX6fnORFhERQV5ensXMoqSkhOzsbHPALIUbjwFZUxRCrAIeAC50BK7qdO1N4G/ASCllTTdl9UCq6bRESnl5p3q9ICoqilOnTrFp0yYmTpyIRqPhyJEjREdHW3WjZfz48Xh4ePD1118zZcoUAE6cOMGIESOsrkpwKxMREcG+ffuIiIgwr9Pm5ubS3Nzcby8fZ2dnFixYwLfffmsOf1BbW8sjjzzCkCFD+qVOhf5nQHafhRB3As3Ams5CUQgxDlgJhAITLyMUm6WUvXbN0pPd57a2NhITE8nNzUWlUhETE0NUVJTVdw31ej2nT5+2UNuYOHEitra2Vq3nVkZKyZ49e0hNTSUkJITm5mbKysp4/PHH+31ErtPpzKPF8ePHX1O0QIX+5bpUybk0xKkpbRPG8KbbgPiBFooK1xdSSoqKisjOzsbW1paoqKhex2muqakxu+wPDQ3t99jIBoOBmpoa7OzsbhrfkDcj/aqSI4QYAmiklH0yOBRCzAfKpZTnrjIycxRCnAJ0wLtSyq1XuOdSYCnQ49FBVVUVOTk55l1DV1fXHvehN9TV1ZnXMMPDw5Uf0CVIKdm5cyeFhYXExcXR3t7O2rVrmTZtWq9cYHl4eODh4dGPLf2FgoICduzYgRCC9vZ23NzceOSRR64aKkDh+uaqQlEIYYMxtOhiIAFoAxyEEDXATmC5lLJXwXSFEM7AfwL39iD7eClluRDCHzgghEiVUnar7yCl/Bz4HIwjxSvdtGO6lZ6eTmRkJPX19Rw6dIh58+YRHh7em+5clZMnT3Lo0CHz4vvKlSu58847bzp/d32huLiYwsJCli1bZh7dTZgwgX/961/9+rK6VhoaGti0aROPPvooAQEBGAwGkpOTWbt2La+++qqyNHID05OR4k/APuD/AGmm4PUIIdwxhiZ9TwjxnZRybS/qDQD8gI5R4ljgtBBikpSyqnNGKWW56W+BEOIgEAf0WQmssLCQnJwcXn75ZfPCfEJCAmvWrCEgIMBqKhV1dXUcOnSIZcuWma0rpk6dyvLlywkODlZGjCays7PNNq0dDB061OzwwBqBoKzJuXPniIyMJCAgADDquSYkJJCSkkJ+fj7BwcE0NDRQW1vLiBEjFP+TNxA9EYr3SCnbL02UUtYBm4HNQghVbyqVUqYC5ug5QogiullTFEIMB1qllG1CCA9gKvB+b+q6HJmZmUycONHCosTLy4uxY8eSn59vtdFiVlYWERERFj+KoUOHEhERQWZmZp8Dpt+ItLe3k5SUZLF2aGNjQ3t7l68ZWq32uty4aG5u7vaF5u7uTkNDA1u3biU7O5vRo0dz/vx5goKCmDdv3nXZFwVLrqrA1Z1A7G0eIcR64AQQIoQoE0I8d4W88UKIlabTMOCUEOIcxhHru1LKfjUDGUhb8MG0ja2uriY3N5fGxsZ+q0Oj0ZCXl0dZWZn5uRoMBr7++muKi4u54447mDRpEqdPn6aiooLTp09buMAqLS2lpKTkunSBNW7cuC56rlqtlvz8fMrLy2lpaeGNN95gyZIlvPHGG2g0Gg4ePDh4DVboMT1+bQkh7sa4rlgPpAEpGKfTbVcrK6VcdJXrvp3+PwU8b/r/OHDlOI7XSHh4ODt27CAuLs4cXrOiooLy8nIee+wxq9UTFhbGihUrmDp1KsOGDQOgvr6e9PR0nn/+eavV01M0Gg2bNm3iwoULeHp6Ul5eTmRkJHPmzLGqknNSUhL79+/Hy8vLbLmzcOFCzp8/j06nY8mSJeaXQkBAAB999BHR0dH861//IjAwEK1WS2lpKY8++uh1aR0SHh5OYmIiGzduJD4+Hq1Wy9GjRwkJCSEnJ4clS5aYlwJUKhX33XcfK1eutHrsaQXr05ux/Crgt4AKiAYeAiKAwH5oV7/j6+tLWFgYn376KREREeYoYfPnz7fqj3D48OHMmDGDzz//3Dwlz8jIYMaMGYOynrh7927c3Nx44oknsLGxoa2tjXXr1pGYmGi1jZ/S0lKOHDnCsmXLGD58OFJKkpOT2bBhA/7+/ubA7h2oVCqCgoIYMWIEr776Knl5edjZ2V23AhGMFjS//vWvSUpK4tChQ9jZ2ZGQkEBMTAx/+ctfumwMdcRellIq3nOuc3ojFIs7qcN82x+NGUiEEMyaNYuYmBhycnJwd3fnnnvu6ZcQnpMmTSIoKIisrCwAXnjhBau7J+sJ7e3tZGRk8MYbb5hHhQ4ODtx9993s2rXLakLxzJkzTJkyxdxHIQQTJ07k5MmTqNXqbs3x6urqCAoKwsXFpdfRAhsbG9FoNHh4ePSbSV932NvbM3Xq1C7rwn5+fqSkpJCQkGBOS0lJwdfXVxGINwA9UclZA5wGfhZC/E5K+Y/+b9bA4enpiaen59Uz9pHhw4ebzfwGi/b2doQQXdyVubq6otForFaPRqPp8nIRQuDi4oKfnx979+4lJCSEwEDjJGPLli3s3buXpqYmcnJymDZtWo90/Zqbm9m6dSsVFRU4Ojqi0+mYM2cOYWFhVuuLWq3m2LFjZqun6Oho4uPjsbGxQa/Xc/LkSdLS0jAYDISEhHD77bczc+ZM/v3vf1NfX8/48eMpLi7m+++/Z/z48Xz66acEBAQwdepUq72AW1tbOXbsGHl5eWbLrIkTJw7oC+JmoicjxdVADDAKuFcI8TpwznSkSClv+FHjrYKTkxPu7u5kZWVZCI6zZ8+aVUusgb+/v1llpWNkdPHiRSorK3n88ccZPnw427dvB4yqUeXl5bz22msEBweTnZ3NqlWrePbZZ68oGKWUbNy4ER8fHxYuXIidnR2lpaV88803DB8+vNeWMN3R3t7O6tWr8fb25sEHH6StrY1Dhw5RWVnJ/Pnz2bx5M21tbdx7773Y2dlx8uRJ1qxZw7PPPssLL7xAYmIiSUlJFBUV4efnx9y5c3FxceHs2bOsWrWKF154wbyefa1otVq+/PJLfHx8mD9/Pmq1mkOHDlFVVcW8efP6/AxuSaSUvTowCtIo4Eng/d6WH6hj4sSJUqErhYWF8r333pP79++X6enpctu2bfLvf/+7vHjxotXq0Gq1cuXKlfLf//63TElJkcePH5d///vf5cmTJ815DAaDLC8vl2+99ZY8f/68RfmDBw/Kbdu2XbGOyspK+cEHH0iDwWCRfvjwYfn9999bpR/Jycly7dq1FnVotVr517/+VaampsoPPvhA6nQ68zWDwSBXrVol09LSzGkNDQ3y3Xffla2trRb33rRpkzx69Gif25iYmCjXr19vkdbW1ibfe+89WVtb2+f73ywAp2QPZUevx9dSSp2UMlVKuVZK+b+tK6IV+htfX1+effZZSkpK2LZtG21tbSxdutS8M24NVCoVTz31FKGhoWRmZlJdXc2CBQvMLvvBOJ12cHDA3d29y/JFcHAw5eXlV6yjQ0/w0jW6ESNG0NTUZJV+lJeXd4m3olKp8PPz4+zZswQGBlpYrgghCA4OpqyszJxWVVXF2LFju4wIQ0JCrtrHnrYxODjYIs3e3h4/Pz8qKir6fP9bEWXR4RajpaWFzZs3o9FoiIiIoLKykm3btnWrON0XVCoV8fHx/OpXv+LBBx/s1hbd2dmZ1tbWLuuZ1dXVuLm5XfH+Xl5eVFRUdHHUm5mZybhx4/reAYw7xtXV1RZpUkqqq6sZPXp0l2vQte1ubm7U1NR00X/tSR/70sYLFy5Y5f63Ir0WikKIWf3REIWB4YcffsDPz49ly5bx4IMP8uqrr6JSqThy5MiAt8XJycmsL6pWqwHjyOrAgQNMnjz5imWHDBnC5MmTWbNmDenp6ZSUlLBjxw4qKiqYOHGiVdoXGxtLamoqWVlZSCnR6XQcPnwYKSUzZsygqamJ48ePo9frkVKSmppKbm4uMTEx5nuMGjUKNzc39u7dS3t7O1JK8vPzOXXqFPHxPXLackUmTJjAuXPnyM7ONrfx4MGD2NnZWe3lcKvRa9dhQojTUsrryxC1GxTXYV3R6XS89957vPnmmxY70OfPn2fDhg28/vrrA96m9vZ2du/eTXp6Og4ODhgMBu6++25iYmJIS0sjMzMTMDqRjYiIsJjKSinJyMjg9OnTaDQa/P39mTJlCs7Ozuj1es6ePUtOTg52dnZER0cTHBzca5WYgoICVqxYQWlpKQaDgZiYGF588UWGDh3KxYsX2bZtG+fPn8fGxgY3NzfmzZvXJUpjS0sLO3bsoKioCJVKhb29PXPmzDHvvveVoqIidu7ciVqtRqfTMW7cOB588MHrzonGYNKv/hQVoXjj0t7eznvvvcfvf/97CxvcixcvsmrVKt58881Ba1tbWxutra24ublhY2PD5s2bqa+vZ9KkSUgpOXnyJKNGjWL+/PlXvZfBYGDdunXo9Xqztcnx48cJDg5m1qyeT3SklGzYsAG1Wk1oaChCCM6ePYuvry9z5swx52tubkav1+Pm5nZFodva2opWq2Xo0KFW11eUUtLQ0IBKpVK8fneD1f0pCiG+BCQgAB9TeAEApJTPXlMrFQYMKSUpKSmcPn2a3NxcPv30U5555hnzSCIxMXHQ7YsdHBzM1ivFxcVUVlby0ksvmYV3eHg4//znP6moqLhqvOzs7GzUajXPPfecWVcvNDSUjz/+mPj4+B4rzufl5dHQ0MALL7xg3lCZMGECH3/8MQkJCWa/jT3VN3R2dsbZ2blHeXuLEMKqm2W3Mj21aFnd6f9pwFfWb4pCf/HTTz+Rk5PDXXfdRUJCAh9++CGvv/46Tz31FBUVFdTW1vLMM88MdjPNFBYWEh4ebjGaValUhIaGUlhYeFWhWFhYSGRkpIXyspOTE4GBgRQVFfVYKBYWFhIREWGxw+zg4EBwcDCFhYUD5sxWYWDpkVCUUh7q+F8I0dT5XOH6pqWlhcTERF577TXztOqjjz7i448/JjExkXvuuYfIyMh+d9vfG5ycnLpVJ2lqauqR9ZGTk1O33n8aGxt7rCwtpaS5uZnc3FxCQkIs6m1sbMTf35/q6mqqqqoYPnw43t7eignfTcK1OHfTWr0VCv1GVVUVXl5eFutMTk5OPPjgg5w+ffq6c94KEBkZyaFDhygoKMDf3x8wRuYrLCzskZVGTEwMK1euJDIyEm9vb6SUpKWlUVdX16PNDY1GwzfffENVVRWpqamcP3+eiIgIHnnkEXJzc6moqEClUrF79258fX2prHNMWk4AACAASURBVKzE2dmZRYsW9dv0WGHg6LVQlFIqPvRvINzc3KitrcVgMFhMJ62lJ9cfDBkyhAULFrB161aGDBmCwWBAo9Hw+OOPd7Hb7g53d3fmzZvHunXrGDZsGFqtFoPBwBNPPNEjJ68//vgj7u7uPPXUU+Tm5rJ161b27dvHiRMn8PPzIygoiObmZn77299iZ2eHlJIff/yRXbt2sWDBAms8AoXBpKemL309MLoeu4DRB+Ol197EuJHjcZmyS4Bc07GkJ/UpZn6/8NVXX8ldu3bJtrY2aTAYZGFhoXz//fdlZWXlYDftiuh0OllcXCxLSkqkXq/vdfn29nZZVFQky8rKupgDXg69Xi//8pe/yJaWFot2nDp1Sr711lvSYDDITz75RJaWllqUU6vV8i9/+YvUarW9bqdC/0MvzPwG0jf6auATYE3nRFPs53uBku4KmWLBvAXEYxScyUKI7VLKi/3a2v+/vTsPi/K8Fz7+vdkkSsQFF0QFQUV2CojEDTVGjVs2E020xqZZTN6cNumbpmnT69jTnr5JTtLEnPO2b0Ni6nJZNVETTYyNqZrEKG64AIKCIggomwoCsgwzv/ePGaYgoCADM8j9uS4umWee5X5m9Ofz3M99/34doH72xc2eVl6/fp26ujruvvtum/VRLViwgC+++IJ3332XHj164OTkxPz5822SNKEj1dTUWDNxe3l5tao/UES4du0aPXr0wN3dHV9f3zYd02QyYTQaG/WxXr9+naqqKsrLyzEYDNTW1lrbUl1dTWZmJnV1ddTU1FBXV4erqysiQm5uLiUlJXh5eTF48GDOnTtHdXU1I0aMsMuT4srKSkSkQ9Lj3Unaknn7KObMOCmWn2QRaTrPqQUi8r2l9vON3gNexVz7uTkzgW/EXBMGpdQ3wCxgQ2uPbW8lJSVs376doqIiwJyubN68eQwYMMC6Tnl5OV988QU5OTk4OzvTu3dv5syZY5NZCT179mThwoXWKXV9+/Z1+IcCycnJfPXVV4wYMQIR4auvvmLevHmEhIS0uM25c+fYuXOndRDzyJEjmTNnTpv6+VxcXPD19eXEiRPExMSQmJjI999/b80DuXLlSvr160dSUhJ+fn589tlnDB8+nPz8fFJTU0lLSyM0NJSNGzdy7do1hg8fzo4dO0hNTWXGjBn07duXXbt2ERsby9SpU23xUd3S5cuX+eKLLygoKEAphZeXF3PnzmXQoEGdcvyupi1XivMxZ9wOB54D5iilSkSkbf8VN9DK2s8+QG6D13mWZc3tr811nztabW0ta9euZdKkSdaHGseOHWPdunW8+OKLuLm5ISKsX7+ewMBAHn30UVxcXEhPT2fDhg0sX77cZn1/HTlOzpZKS0vZuXMnP/3pT63/cRQWFrJ69Wp8fX2bvdIpLi5my5YtPPzwwwQEBGAwGNi9ezeffvopTz75ZJuOP3PmTNatW8epU6c4efIkUVFRFBcX89JLL1FaWsq6deu4cuUKa9asYcmSJYgIeXl5/Md//Ac7d+4kMzMTT09Pli5dap3WFx8fz6BBg5g7dy6VlZWsWrUKX19f64OkjlJXV8e6deuIi4vjxz/+sXUAen0pVkfNbG5PrZ77LCIXReQfIvJfIvIY5tvZj261XUsa1H7+99vdRzNtTBCRGBGJaXgVZk/p6ekMHjyYsWPH4uzsjLOzM2PHjsXb25u0NHMNrpycHOt8WldXV5RSBAcHExISwvHjx+18Bp0vLS2NkJCQRlfSgwYNYvTo0dbP7EZHjx4lNjaWkSNHopTCzc2NmTNncuXKFesVemsNGjSI5cuXU1xcTL9+/QgICGD58uX06dMHPz8/fH19GT58OEFBQdTU1NCrVy+ee+45QkNDiYiIYM+ePUydOhWlFBcuXMDDw4Mf//jHpKSkICLWedvJycnt+pxa4/Tp0/Tv35+4uDicnZ1xcnIiKiqKYcOGkZqa2uHH74racvvsKyI59a9FJF0pNfpm29xCa2s/5wNTGrweCnzbjuN2qrKysmbH1g0cONA6lq5+nRuvlgcNGsSlS5c6pZ2OpK6urtlxkz169KCurq7ZbcrKypr0Hzo5OeHl5dXid3AzHh4eBAUF0a9fvyYZ0+vbFhISwoMPPtjkPYPBYF2n/lzc3Nwatf3G1x3lZn//ysrKOvz4XVFbsuRssJQn3aeU+otS6v8Aobd7YDHnZBwoIn5iruaXB0TdEBABvsac8buvpQ70DMuyLmHIkCGcPXsWk8lkXSYiZGZmWmdmDBkyhPPnzzdJ35WRkXHL2Rt3otGjR5OSkmLNnAPmhwSnTp1qkjuwno+PDxkZGY2WVVVVcfHixdt+oDR69GiOHz/e6Hu5evUq2dnZxMfHk5GR0WiQeE1NDSdPniQ2NpbDhw8D5m6cwsJCvv76a2tCCqPRSFJSUqdMrfTx8Wnx75+PT7O9UN1eq68URWS8Ml/KBGDOvN0PaHW+c0vt5ymAl1IqD1ghIqtaWDcGWC4iT4vIFaXUH4Ajlrd/X//QpSsICAhg//79bN68mfHjxwNw4MAB3N3drSUABgwYQEBAAH//+9+Jj4+nR48eHD16lNLSUsLCbF/h1Wg0kp6eTmFhIcOHD7fecjantraW9PR0KisrGT58eIfP3Lh27RoXLlzAzc2NlStXMmHCBESEY8eONZpvfKPo6GgSEhLYtWsXERERVFRUsGfPHiIjI287W8zIkSNJTU0lISGByMhIqqurOX78ONOnT8fb25tJkybx4YcfEhoaSl5eHqmpqURHRzNnzhzWrFlDUVERw4cPx8XFhQ8//JBly5Zx4MABUlJS8PT0vOlDI1vx9fXF09OTTZs2MXHiRJycnEhMTMTJyYlRo0Z1+PG7oltmyVFKKbnFSq1Zp7M5UpYcg8HAgQMHrP1hwcHBjB8/HldXV+s6JpOJw4cPk5ycjMFgYNSoUUycONHmD0bKyspYsWIF+fn59O7dm7KyMoKDg3n99debdLoXFBSwfv16vL296devH2fOnGHIkCE88sgjHVIU6fjx4+zatcuakSYxMRFvb2/GjBlDcHAwQ4cOven25eXl/PDDD5w7dw53d3d+9KMfERUV1a4gLiJkZWWRkZFhLVzV8Hb06NGjfPDBB3h5eREYGGidNTNjxgySk5MpLi7Gy8uLoUOHcubMGWpqaggICGDkyJGdVliqrq6OxMRETp06hclkIigoiAkTJjjU1M6O1pYsOa0ZdP0t8G/A8BuWuwHTMCeHWNbagZGd9aMHbzdvxYoV8sorr1jrd+Tn58tTTz0lH3zwQaP1TCaT/PnPf5aTJ09alxkMBvn444/l6NGjNm9XfS2TkpIS67KrV6/KW2+91WiZIzEajfLee+/J6dOnrctqamrkgw8+kJSUFDu2TLsRNq7RMgswYu5TvKSUSlNKncc8u+RxYKWIrG5T2Nbsora2loMHD/KLX/yCfv36Aeb+zGeffZZ//vOfjdYtKSmhtra20e27i4sL48eP59SpUzZvW3p6OmPGjGlUwa9Pnz6EhYVZE83aS1VVFWlpaWRmZjaqWX3x4kVcXFxQSpGenk5NTQ1ubm7ExcV1yGekdY5b9imKSDXwF6VUEbAd6A9UiUhpRzdOs63a2lqMRmOT0qGDBw9u9FADzHcQzd12Ojk5Neq0txURafZ2sqOO11pJSUl88803DBs2jJqaGrZv387ChQsZOnQoOTk57NmzBw8PD1xcXNi2bRtz5syxe5u19mlLp8Y6zLfKRfUBUSnlOEn4tFvq1asX3t7efPHFF9ZlIsL27dubPAkdMGAATk5OnDlzxrrMZDJx8OBBmxabrxcYGEh6enqjYSIVFRUkJyd3yPFao6CggL179/Lss8+yePFinnrqKebNm8fGjRuprKxk3759BAUFER8fz5IlS3jqqafYsWMHu3fvtlubtfZry4yW08B3wBal1KMiYsDc1/i3DmmZZnNKKZ555hn+9Kc/cf78eYKCgjhy5AjJycm88cYbTdZ98MEH2bhxI2lpafTt25fTp0/Tu3dvmxRculHfvn2ZPHkyCQkJhIWFoZQiJSWFuLg47DUQPzk5mejoaGtXA5iH6Xh5ebF79258fX0ZN24cn376KaNHj6Z3795cuHCBQYMGER4ebpc2a+3X6hot9bVZlFJLMfclPgwcEJEfdWQDb5cjPX12NCkpKWzZsoXCwkL8/Px47LHHGDFiRLPrXr9+ndTUVCoqKhg+fDgBAQEdOiSnpKSEtLQ0RISgoKA2D7q2pS+//BIvLy/i4hpny/vkk0+oq6ujV69ePPDAA1RWVlrHVRYVFdG3b19mzJhhp1ZrzbF5jRaLqwAislYpdR3YATj+RFqtibCwsFaPf+zZs2ejIvYdzcvLi8mTJ3fa8W5m5MiRfPfdd9YpmmAeR5mVlcXixYvZsGEDlZWV9OrVi7i4OAwGAx988EGnfl6a7bVl8Pa9DX7frJSqpnHtFk27o4wePZqTJ0+yatUqoqKiqK6u5vDhw8THxzNs2DBiY2P56KOPGDt2LC4uLiQlJeHj44Ofn5+9m661Q5tLnHYV+vZZswWTycTp06fJyMjAzc2NsLCwRuncsrOzSU1NxWg0MmbMmNuqLa11vA6t+9xVdIegKJbZFikpKZhMJgIDAwkKCrrlTIlz586xadMmCgsL8ff3Z9GiRQ6XW09EOHXqlHWMYkhICEFBQZhMJpKTkxvNMLFVUXlbKisr48iRI9YZLWPHjrUmlhURTp8+TXp6Ok5OToSEhNx0qmVzSkpKyM3NxcPDg4CAAJvNjsnLy+PEiRNUV1fj7+9PeHh4q0o4ODodFOkeQXH37t2kpaUxbtw46+1bnz59WLBgQYv/wBITE/nP//xP4uPjGTNmjPXp8/vvv+8wt30iwmeffUZJSQmxsbGICIcOHcLb25vy8nLq6uqIjo6mpqaGxMREQkNDOy1ha2sUFhaydu1awsPD8fX1JTc3lxMnTrBkyRIGDx7Mtm3bKCgoYOzYsdbpnQEBAcyaNeuW+xYRduzYQXp6OiNHjuTKlStUVlayePHiJuNP2+rIkSPs27ePcePG4eHhwcmTJzGZTCxZsqTLB0abTvPrqj93+jS/y5cvy1tvvdWolojBYJA///nPcvbs2Wa3MZlMsmTJEvn8888bLX/vvffktdde69D2tkVOTo68//77jeqd1NTUyKuvvipvv/12o3otFRUV8uabb0ppaak9mtqs9evXy6FDhxotO3r0qKxdu7bZc6uqqpJ33nlHCgsLb7nv48ePS0JCgtTU1FiXHTp0SBISEtrV5qqqKnnjjTes0z9FzH9f1qxZI0lJSe3atyPAxtP8NAeUlZXF6NGjGyWMcHFxISwsjHPnzjW7TVlZGQUFBcydO7fR8gcffNChpqVlZWUREhLSKGGGm5sbPXv2pHfv3o1uFXv16kVAQADZ2dl2aGnzsrKyiIiIaLQsPDyc8+fPc/bsWUJDQxudm7u7O2PGjGnxe2soOTmZiRMnNkrmEBMTw7Vr17hy5faTR+Xm5jJkyJBGYzKVUkRGRraqXXcSHRS7qB49elBZWdlkeWVlZYsp5t3d3VFKcfVq45pfRUVFrS4S3xnuuusuysvLmyw3Go3NJmYtLy93qPa7u7s3aX9FRQXu7u64u7u3+XtrqK6ursl6SilcXV3blbS2R48eVFRU1Cd7aXO77iQ6KHZRgYGBXLx4kbNnz1qXFRQUkJyc3OJsCnd3d2JiYnj33XetiVPLy8tJSEhg2rRpndLu1ggNDeXMmTONrv7OnTuHUorS0lIKCsx5iEWElJQUrl69as1N6QiioqLYtWuX9TM2GAx8/fXXREVFERoaSlpaGvn5+db1z58/T3Z2NsHBwbfc9+jRozly5Eij4JWVlYWItGvmz7BhwzCZTBw/fty679LSUhITE4mMjLzt/XZF+kFLF3bhwgU+/fRTPD09cXFxobCwkLlz5940eem1a9d47bXXyMvLw8fHh5ycHKKjo1mxYoVDdaafO3eOzz77DE9PT0SEiooKHn74YSoqKvjqq6/o37+/taToY4895lDlWo1GI9u3byczM5PBgwdTUFBAQEAADzzwAC4uLpw5c4Zt27YxYMAATCYTV69e5ZFHHmlxVlFDtbW1rFu3DmdnZ4KCgrh8+TKpqaksWLCg3UWwiouL2bhxIy4uLnh4eJCfn8/UqVMZN25cu/brCBzu6bNS6mNgLuZkEqGWZX8AHgBMQBHmnIwXm9nWiLmkKsAFEZnfmmN2h6AI5n+AOTk5GI1GfH19W504ND09nby8PAIDAx2m8uGNjEYjubm5KKUYOnSodVaJwWAgNzcXV1dXhg4d6rDjAktLSykpKaF///707du30XsGg4GcnByUUvj5+VnPrTWMRiNpaWnWoliRkZF4enrapM0iwoULF6ipqWHYsGEO1S3RHo4YFCcDFcDaBkGxt4hcs/z+MyBYRJY3s22FiLS5end3CYqapt1aW4Jip/Qpisj3wJUbll1r8LIXcGfex2ua1qXY9UGLUuqPSqlcYDEt1392V0odVUodVEo92MI69ft71rLu0eLiYpu3V9O0O1+nPWhRSvkBX9bfPt/w3q8BdxFZ0cx7PiKSr5TyB/YA94rILQdO6dtnrTOICGlpaSQlJVFVVcWIESMYP348lZWVHDx40DrNLy4uzqEeBnU3Dnf73ArrgUeae0NE8i1/ZmEuouWQ+Ru17mnfvn18++23xMTEMGfOHIxGI++88w4ffvgh/fv3Z+bMmQwcOJB169aRk5Nj7+ZqrWC3oKiUalh09gHMmb1vXKevUqqH5XcvYAKQ1jkt1LSbq6qq4sCBAyxdutRagvX+++/n6tWreHt7M3HiRIYNG8b48eOZNWsWe/bssXeTtVbolIFpSqkNwBTASymVB6wAZiulAjEPyckBllvWjQGWi8jTQBDwgVLKhDmAvykiOih2AeXl5Zw4cYKysjJ8fHyaTG27E1y6dAkwXy3WT7H09vYGaDLEJjg4mK1bt7ZYEExzHJ0SFEXk8WYWr2ph3aPA05bfDwCtSxGtOYy8vDw2bNhgLSeQlpbGwYMHWbZs2R0z7k1E2L9/P4cPH2bChAkYjUb+/ve/M2HChGYD35UrV/Dw8NABsQtwlD5F7Q4hInz55ZfMnj2buXPnEhsbyxNPPIGPjw8//PCDvZtnM1lZWZSVlTFv3jwqKyuZMGECTz/9NNu2baOqqorLly9b5zhfv36dr776irFjx9q51VprOM68Lu2OUF5ezrVr1xrN41VKMXbsWLZu3cp9991nx9bZTkZGBpGRkURFRbF9+3beffdd3N3duXjxInPnzsXT05P/+Z//oU+fPpSWlhIZGcnEiRPt3WytFXRQ1GzKxcUFo9GI0WhsNJe6pqbmjupTdHV1pba2lp49e7Jo0SIqKiqorq6mX79+BAcHExISwqRJkygtLaVPnz53TLdBd6BvnzWb6tmzJ8OHD+eHH36wZlupq6vju+++a3UFwa4gLCyMY8eOUVpaCoCHhweVlZVcunSJUaPMAyvuuusuvL29dUDsYvSVomZz8+bNY/369Zw5c4aBAweSlZWFn5/fHZFtpd6gQYOIj4/nr3/9K/7+/tTW1nLx4kUWLFjQ6qQcmmPSqcO0DiEinD9/3jokx55F7TtSZWUlZ8+exdXVlZEjR+qA6KDaMqNFXylqHUIp1e78fl1Br169mpQe0Lo23aeoaZrWgL5S1LR2qqmpIT093ZoQQid+6Np0UNS0dqifvTNs2DB69+5NYmIio0aNYu7cuXr2Shelg6Km3SaTycSWLVuYP38+gYGBAEyfPp2//e1vnDp1itDQJlnytC5A9ylq2m26ePEirq6u1oAI5vrUcXFxDlVHW2sbHRQ17TaZTKZmC045OztjMpns0CLNFnRQ1LTb5OPjQ2VlZaP61EajkcOHDxMUFGS/hmntovsUNe02OTs78+CDD/LJJ58QGBhI7969SUtLY8CAAYSHh9u7edpt6rQrRaXUx0qpIqVUaoNlf1BKJSulTiildimlhrSw7ZNKqUzLz5Od1WZNuxV/f39eeOEFBg4ciIhw//338+ijj+LkpG/CuqrOLFx1W7WflVL9gKNADOYyqElAtIhcvdnx9DQ/TdPqOWThqnbUfp4JfCMiVyyB8BtgVoc1VNO0bs3ufYpKqT8CS4EyYGozq/gAuQ1e51mWNbevZ4FnAYYPH27bhmqa1i3YveNDRF4XkWGYy5y+2M59JYhIjIjEDBgwwDYN1DStW7F7UGygpdrP+cCwBq+HWpZpmqbZnF2DYmtqPwNfAzMsNaD7AjMsyzRN02yu0/oUb7f2s4hcUUr9AThi2dXvReRKkwNomqbZgM68rWnaHc8hh+RomqZ1BTooapqmNaCDoqZpWgM6KGqapjWgg6KmaVoDOihqmqY1YPe5z9q/GAwGMjMzMRgMBAQE4OHhYe8mtcnly5fJzc3Fw8MDf39/nT5L65J0UHQQ2dnZfPrppwwePBh3d3d27tzJlClTiIuLs3fTbklE2LFjB+np6QQEBHDlyhV27tzJ4sWL6devn72bp2ltooOiAzAYDHz66acsWLCAESNGAFBWVsZHH33E8OHDGTKk2dy7DuPkyZNcunSJn//857i5uQFw6NAhtm7dytNPP23n1mla2+j7Gwdw9uxZBg0aZA2IAJ6ensTExJCSkmLHlrVOcnIykyZNsgZEgLFjx1JaWsrVqzfNBaxpDkcHRQdQV1dHjx49mix3c3Ojrq7ODi1qG4PB0CggAiilcHNzw2Aw2KlVtlNQUMCiRYsICAggOjqa2bNnk5GR0aHHHD9+fIfu3xZEhJ/97GeMHDmS8PBwjh071mSd69evM2fOHMaMGUNISAivvfaa9b2amhoWLlzIyJEjGTduXKMCYPakg6ID8Pf35/z585SWllqX1dXVcfz4cUaNGnWTLR3D6NGjOXr0KA3n0WdlZSEidPW8liLCQw89xJQpUzh37hxJSUm88cYbFBYWdsjx6v8TPHDgQIfs35Z27txJZmYmmZmZJCQk8Pzzzze73iuvvMLp06c5fvw4+/fvZ+fOnQCsWrWKvn37cvbsWV5++WV+9atfdWbzW6SDogPo1asX9957Lx999BF79uzhwIEDJCQkMHjw4C4RFMeNG8e1a9dYs2YNhw4dYufOnWzZsoV58+ahlLJ389pl7969uLq6snz5v0oHRUREMGnSJESEX/7yl4SGhhIWFsamTZsAWLRoETt27LCuv2zZMjZv3kx2djaTJk0iKiqKqKgoa+D79ttvmTRpEvPnzyc4OBjAOvKgoqKCe++9l6ioKMLCwti2bRtgfjAXFBTEM888Q0hICDNmzKCqqgowd8dMnz6diIgIoqKiOHfuHABvv/02Y8eOJTw8nBUrVrT7s9m2bRtLly5FKUVcXBylpaVcunSp0To9e/Zk6lRzQn03NzeioqLIy8uzbv/kk+Y6dAsWLGD37t04RIIaEbkjf6Kjo6WruXTpkuzatUt27NghGRkZYjKZ7N2kVjMYDHLy5En54osvZO/evXL16lV7N8km3n//fXnppZeafW/z5s0yffp0qaurk4KCAhk2bJhcvHhRtm7dKkuXLhURkZqaGhk6dKhcv35dKisrpaqqSkREMjIypP7v6N69e6Vnz56SlZVl3XevXr1ExPy5lpWViYhIcXGxBAQEiMlkkvPnz4uzs7McP35cREQeffRRWbdunYiIxMbGytatW0VEpKqqSiorK+Xrr7+WZ555RkwmkxiNRpkzZ4589913Tc7psccek4iIiCY/a9asabLunDlzZN++fdbX06ZNkyNHjrT4WV69elVGjBgh586dExGRkJAQyc3Ntb7v7+8vxcXFLW7fHsBRaWXs0E+fHcjgwYMZPHiwvZtxW1xcXAgPD+9W9Y5/+OEHHn/8cZydnRk0aBDx8fEcOXKE+++/n5///OfU1NTwj3/8g8mTJ3PXXXdRVlbGiy++yIkTJ3B2dm7ULxkbG9voQVs9EeE3v/kN33//PU5OTuTn51tv3UeMGEFkZCQA0dHRZGdnU15eTn5+Pg899BAA7u7uAOzatYtdu3bxox/9CDBfgWZmZjJ58uRGx6u/2rW1uro6Hn/8cX72s5/h7+/fIcewFR0UNe0mQkJC2Lx5c5u2cXd3Z8qUKXz99dds2rSJRYsWAfDee+8xaNAgTp48iclksgYsMHehNGf9+vUUFxeTlJSEq6srfn5+VFdXAzR6OOfs7Gy9fW6OiPDrX/+a55577qZtX7hwIWfOnGmy/Be/+AVLly5ttMzHx4fc3H/VlMvLy8PHp9macjz77LOMGjWKl156qcn2Q4cOpa6ujrKyMvr373/T9nWGTulTVEp9rJQqUkqlNlj2tlLqtFIqWSn1mVKqTwvbZiulUpRSJ5RSOmus1qmmTZtGTU0NCQkJ1mXJycns27ePSZMmsWnTJoxGI8XFxXz//ffExsYC5uDyt7/9jX379jFrlrkib1lZGd7e3jg5ObFu3TqMRuMtj19WVsbAgQNxdXVl79695OTk3HT9u+++m6FDh/L5558D5ie8169fZ+bMmXz88cdUVFQAkJ+fT1FRUZPtN23axIkTJ5r83BgQAebPn8/atWsREQ4ePIinpyfe3t5N1vvtb39LWVkZK1eubLL9mjVrANi8eTPTpk1zjD7o1t5nt+cHmAxEAakNls0AXCy/vwW81cK22YBXW4/ZFfsUNceUn58vjz76qPj7+0twcLDMnj3b2uf7yiuvSEhIiISGhsrGjRut29TW1krfvn1l2bJl1mUZGRkSFhYm4eHh8uqrr1r7Dffu3Stz5sxpdMz694qLiyUuLk5CQ0Nl2bJlMmbMGDl//rycP39eQkJCrOu//fbbsmLFCutxpk6dKmFhYRIVFWXtw1u5cqWEhoZKaGioxMXFydmzZ9v1uZhMJnnhhRfE399fQkNDG/Unp/5v3wAADAlJREFURkREiIhIbm6uADJmzBhr/+SHH34oIub+zgULFkhAQICMHTvW2s6OQBv6FDutHIFSyg/4UkRCm3nvIWCBiCxu5r1sIEZEStpyPF2OQNO0el2xHMFTwM4W3hNgl1IqyVLsvkVKqWeVUkeVUkeLi4tt3khN0+58dg+KSqnXgTrMdZ+bM1FEooD7gf+llJrcwnqISIKIxIhITFcfNKxpmn3Yu+7zMmAusFhauI8XkXzLn0XAZ0BspzVQ07Rux25BUSk1C3gVmC8i11tYp5dS6u763zE/nEltbl1N0zRb6KwhORuARCBQKZWnlPop8H+Bu4FvLMNt/mpZd4hS6ivLpoOAH5RSJ4HDwA4R+UdntFnTtO6pUwZvi8jjzSxe1cK6F4HZlt+zgIgObJqmaVojdn/QommO7o9//CMhISGEh4cTGRnJoUOHbLJfW6YHu1NSjQFMmTKFwMBAIiMjiYyMtA4yz8nJ4d577yU8PJwpU6ZYE0t0SEPvxB89eFuzhQMHDkhcXJxUV1eLiHkwdX5+vp1b9S8Gg8HeTWi1HTt2yKxZs8RkMkliYqLExsY2u158fHyziSUWLFggq1evFhGR3bt3y5IlS1p9bNoweFtfKWraTVy6dAkvLy/rPGMvLy9reYikpCTi4+OJjo5m5syZ1rRZU6ZM4eWXXyYmJoagoCCOHDnCww8/zKhRo/jtb39r3Xd9ejCdaqx10tLSmDZtGgBTp061npvNtTZ6drUffaWo2UJ5eblERETIqFGj5Pnnn5dvv/1WRMzT+O655x4pKioSEZGNGzfKT37yExExX+m8+uqrImKeWuft7S0XL16U6upq8fHxkZKSEhH511Q+nWqssfj4eAkNDZWIiAj5/e9/b02h9/jjj8vKlStFRGTLli0CWD/LW0GnDtM02/Dw8CApKYl9+/axd+9eFi5cyJtvvklMTAypqancd999ABiNxkbJEObPnw9AWFgYISEh1vf8/f3Jzc1tlA1GpxprbP369fj4+FBeXs4jjzzCunXrWLp0Ke+88w4vvvgiq1evZvLkyfj4+ODs7Gzz4+ugqGm34OzszJQpU5gyZQphYWGsWbOG6OhoQkJCSExMbHab+tttJyenRim+nJycmtTd0anGaLIemDP+PPHEExw+fJilS5cyZMgQtm7dCpiD9JYtW+jTp9nkWu2i+xQ17SbOnDlDZmam9fWJEyfw9fUlMDCQ4uJia1A0GAycOnXqto+jU42Z1dXVUVJizv1iMBj48ssvCQ0155ApKSnBZDIB8MYbb/DUU0/d8vO4HToodlOlpaVkZ2dTWVlps31WV1eTnZ1t/Ut9J6ioqODJJ58kODiY8PBw0tLS+N3vfoebmxubN2/mV7/6FREREURGRrar2NSMGTP47rvvmD59urUy4gsvvMCaNWuIiIjg9OnTLV4dNrR48WKOHj1KWFgYa9euZcyYMbfcZt26dfz3f/834eHhjB8/noKCAmbMmMETTzzBPffcQ1hYGAsWLKC8vPy2zw9g9uzZ+Pv7M3LkSJ555hn+8pe/WN+rv62vqalh5syZ1uFPPj4+PPPMM4D5AVNgYCCjR4+msLCQ119/vV3taUmnpQ7rbDp1WPMMBgPbtm0jKysLLy8vioqKiIyMZObMme1K8Ll//3727dvHgAEDKC0tZcCAATzyyCOt+oesaR2tLanDdJ9iN/PNN98gIrz88su4urpSVVXFhg0bOHToEHFxcbe1z9OnT3Ps2DGef/55PD09MZlM/POf/+Tzzz9n8eImKTI1zaHp2+duxGg0cvLkSWbNmoWrqysAd911F/fddx9JSUm3vd9jx44RHx+Pp6cnYH6YMG3aNPLz87l27ZpN2q5pnUUHxW7EaDRiMpma3NJ6enpy/XqziYpa5fr169aAWM/FxYWePXve9AmnpjkiHRS7ETc3NwYMGNBkCEVKSgp+fn63vV8/Pz9SUlIaLbt06RLV1dV4eXnd9n41zR50n2I3M2PGDD755BOKi4sZMmQIWVlZJCcns2zZstve5z333MOqVavYtm0bQUFBXLlyhf379zNjxowOGVyraR1JP33uhoqKijhy5AhXrlxh8ODBxMbGNrn9bavr169z5MgRLly4wN133010dDTDhg2zUYs1rX3a8vS5U4KiUupjzGUHisRSzU8p9TYwD6gFzgE/EZHSZradBbwPOAMficibrTmmDoqaptVzxGp+q4FZNyz7BggVkXAgA/j1jRsppZyBP2MuWhUMPK6UCu7Ypmqa1p11SlAUke+BKzcs2yUi9ZNADwJDm9k0FjgrIlkiUgtsBB7o0MZqmtatOcrT55bqPvsAuQ1e51mWaZqmdQi7B8VW1H1uy76eVUodVUodLS4ubn/jNE3rdhy97nM+0PAR5lDLsmaJSIKIxIhIzIABA2zaVk3TugeHrvsMHAFGKaVGKKXcgEXA9s5qo6Zp3U9nDcnZAEwBvIBCYAXmp809gMuW1Q6KyHKl1BDMQ29mW7adDazEPCTnYxH5YyuPWQzcmEzOC+jqea30OTgGfQ6OobXn4Csirbp9vGMHbzdHKXW0tWOVHJU+B8egz8ExdMQ52P1Bi6ZpmiPRQVHTNK2B7hYUE+zdABvQ5+AY9Dk4BpufQ7fqU9Q0TbuV7nalqGmadlM6KGqapjVwRwZFpdTHSqkipVRqg2VvK6VOK6WSlVKfKaVsX0Xbhlo4hz9Y2n9CKbXLMqbToTV3Hg3e+99KKVFKOXR67ha+i98ppfIt38UJy3hah9XS96CU+jfLv4tTSqn/slf7WqOF72FTg+8gWyl1or3HuSODIreZqszBrKbpObwtIuEiEgl8Cfx7p7eq7VbT9DxQSg0DZgAXOrtBt2E1zZwD8J6IRFp+vurkNrXVam44B6XUVMxZpyJEJAR4xw7taovV3HAOIrKw/jsAtgBb23uQOzIotiNVmcNo4RwalsbrBTj8U7LmzsPiPczTPLvyOXQZLZzD88CbIlJjWaeo0xvWBjf7HpS5aPljwIb2HueODIqt0FKqMoenlPqjUioXWEzXuFJsQin1AJAvIift3ZZ2etHSnfGxUqqvvRtzG0YDk5RSh5RS3ymlxtq7Qe0wCSgUkcz27qjbBUVbpiqzBxF5XUSGYW7/i/ZuT1sppXoCv6GLBvQG/h8QAEQCl4A/2bc5t8UF6AfEAb8EPrFccXVFj2ODq0ToZkGxFanKupL1wCP2bsRtCABGACeVUtmYuzGOKaUG27VVbSQihSJiFBET8CHmLPFdTR6wVcwOAybMCRa6FKWUC/AwsMkW++s2QbGVqcocmlJqVIOXDwCn7dWW2yUiKSIyUET8RMQP8z/MKBEpsHPT2kQp5d3g5UNAk6frXcDnwFQApdRowI2umTVnOnBaRPJssbM7su5zw1RlSqk8Gqcq+8Zyh3BQRJbbrZG30MI5zFZKBWL+Hz0HcNj212vuPERklX1b1TYtfBdTlFKRmB8UZQPP2a2BrdDCOXwMfGwZ4lILPOnId1A3+bu0CBvdOoOe5qdpmtZIt7l91jRNaw0dFDVN0xrQQVHTNK0BHRQ1TdMa0EFR0zStAR0UNU3TGtBBUdM0rQEdFLU7jlLqLkuCA+ebrOOmlPreMkVM06x0UNTuRE9hntNrbGkFEakFdgMLO61VWpegg6LWpSml9jTIvFytlHoMc1q1bQ3WSVRKjbD87qOUSrK89bllXU2z0kFR69JEZJol6/IHwHbMwdBfRLIBlFJOgC/m+ckA4UCy5fdUoCvnENQ6gA6KWpenlFoK3I/5qq8/UNrg7QDgfINEB+FACoDl9rpWKXV3JzZXc3A6KGpdmlLqUczB8DERMQBVgHuDVcKwBEGLmBte9wCqO7qdWtehg6LWZSml5gIvAA+LSDWAiFwFnJVS9YGxH5YrR6VUEDAHy+2zUqo/UGIJppoG6KCodW1rMGfu3m950PJTy/JdwETL718Ds5RS64FHgcsiUmh5byqwozMbrDk+nU9Ru+MopaKAl0Xkx7dYbyvwmohkdE7LtK5AXylqdxwROQbsvdXgbeBzHRC1G+krRU3TtAb0laKmaVoDOihqmqY1oIOipmlaAzooapqmNaCDoqZpWgM6KGqapjXw/wGk+NRyiwU8PQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pw = utilities.pairwise(P)\n",
    "geoplot.hscattergram(P, pw, 1000, 500)\n",
    "geoplot.hscattergram(P, pw, 2000, 500)\n",
    "geoplot.hscattergram(P, pw, 3000, 500)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here, we plot the semivariogram and overlay a horizontal line for the sill, $c$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "tolerance = 250\n",
    "lags = np.arange(tolerance, 10000, tolerance*2)\n",
    "sill = np.var(P[:, 2])\n",
    "\n",
    "geoplot.semivariogram(P, lags, tolerance)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Looking at the figure above, we can say that the semivariogram levels off around 4000, so we can set the range, $a$, to that value and model the covariance function."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "svm = model.semivariance(model.spherical, [4000, sill])\n",
    "geoplot.semivariogram(P, lags, tolerance, model=svm)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can visualize the distribution of the lagged distances with the `laghistogram()` function."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "geoplot.laghistogram(P, pw, lags, tolerance)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If we want to perform anisotropic kriging, we can visualize the distribution of the anisotropic lags using the `anisotropiclags()` function. Note that we use the bearing, which is measured in degrees, clockwise from North."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "geoplot.anisotropiclags(P, pw, lag=2000, tol=250, angle=45, atol=15)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "geoplot.anisotropiclags(P, pw, lag=2000, tol=250, angle=135, atol=15)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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